Physics · JEE Main, NEET

Kinematics

308 practice questions with a worked solution for each. Tap an option to see instantly if you are right.

248MCQ60Numerical42With diagram
Start with question 1 Revise Kinematics & Projectile Motion firstSee it move: Projectile motion
  1. 1A projectile is launched with velocity uu at an angle θ=45∘\theta = 45^\circ with horizontal. The ratio of maximum height HH to horizontal range RR is:JEE Main/MCQ/Medium
  2. 2A vehicle travelling at 20 m/s20\,\text{m/s} stops in a distance of 40 m40\,\text{m} upon applying brakes. If the speed is doubled to 40 m/s40\,\text{m/s}, the stopping distance under same retardation is (in m):JEE Main/Numerical/Medium
  3. 3A car accelerates from rest at 2 m/s22\,\text{m/s}^2 for 10 s10\,\text{s}. The distance covered is:NEET/MCQ/Medium
  4. 4A sportsman runs around a circular track of radius rr such that he traverses the path ABABA B A B. The distance travelled and displacement, respectively, are
    JEE Main/MCQ/Medium/Rest and Motion/With diagram
  5. 5A person travelling on a straight line moves with a uniform velocity v1\mathrm{v}_1 for a distance x and with a uniform velocity v2\mathrm{v}_2 for the next 32x\frac{3}{2} \mathrm{x} distance. The average velocity in this motion is 507 m/s\frac{50}{7} \mathrm{~m} / \mathrm{s}. If v1\mathrm{v}_1 is 5 m/s5 \mathrm{~m} / \mathrm{s} then v2=\mathrm{v}_2= _________ m/s\mathrm{m} / \mathrm{s}.JEE Main/Numerical/Medium/Rest and Motion
  6. 6A particle moving in a straight line covers half the distance with speed 6 m/s6 \mathrm{~m} / \mathrm{s}. The other half is covered in two equal time intervals with speeds 9 m/s9 \mathrm{~m} / \mathrm{s} and 15 m/s15 \mathrm{~m} / \mathrm{s} respectively. The average speed of the particle during the motion is :JEE Main/MCQ/Medium/Rest and Motion
  7. 7A clock has 75 cm,60 cm75 \mathrm{~cm}, 60 \mathrm{~cm} long second hand and minute hand respectively. In 30 minutes duration the tip of second hand will travel xx distance more than the tip of minute hand. The value of xx in meter is nearly (Take π=3.14\pi=3.14 ) :JEE Main/MCQ/Medium/Rest and Motion
  8. 8A particle moves in a straight line so that its displacement xx at any time tt is given by x2=1+t2x^2=1+t^2. Its acceleration at any time t\mathrm{t} is x−nx^{-\mathrm{n}} where n=\mathrm{n}= ___________JEE Main/Numerical/Medium/Rest and Motion
  9. 9A train starting from rest first accelerates uniformly up to a speed of 80 km/h80 \mathrm{~km} / \mathrm{h} for time tt, then it moves with a constant speed for time 3t3 t. The average speed of the train for this duration of journey will be (in km/h\mathrm{km} / \mathrm{h} ) :JEE Main/MCQ/Medium/Rest and Motion
  10. 10A cyclist starts from the point PP of a circular ground of radius 2 km2 \mathrm{~km} and travels along its circumference to the point S\mathrm{S}. The displacement of a cyclist is:
    JEE Main/MCQ/Medium/Rest and Motion/With diagram
  11. 11A body travels 102.5 m102.5 \mathrm{~m} in nth \mathrm{n}^{\text {th }} second and 115.0 m115.0 \mathrm{~m} in (n+2)th (\mathrm{n}+2)^{\text {th }} second. The acceleration is :JEE Main/MCQ/Medium/Rest and Motion
  12. 12A particle is moving in one dimension (along xx axis) under the action of a variable force. It's initial position was 16m16m right of origin. The variation of its position (x)\left(x\right) with time (t)\left(t\right) is given as x=–3t3+18t2+16t,x=–3{t}^{3}+18{t}^{2}+16t, where xx is in mm and tt is in s.s. The velocity of the particle when its acceleration becomes zero is _________ ms−1.m{s}^{-1}.JEE Main/Numerical/Medium/Rest and Motion
  13. 13The displacement and the increase in the velocity of a moving particle in the time interval of tt to (t+1)s(t+1)s are 125m125m and 50ms−150m{s}^{-1}, respectively. The distance travelled by the particle in (t+2)ths(t+2{)}^{\text{th}}s is ___________ mm.JEE Main/Numerical/Medium/Rest and Motion
  14. 14A particle is moving in a straight line. The variation of position xx as a function of time tt is given as x=(t3−6t2+20t+15)mx=\left({t}^{3}-6{t}^{2}+20t+15\right)m. The velocity of the body when its acceleration becomes zero is:JEE Main/MCQ/Medium/Rest and Motion
  15. 15A particle starts from origin at t=0t=0 with a velocity 5i^ms−15\hat{i}m{s}^{-1} and moves in x−yx-y plane under action of a force which produces a constant acceleration of (3i^+2j^)ms−2(3\hat{i}+2\hat{j})m{s}^{-2}. If the xx-coordinate of the particle at that instant is 84m84m, then the speed of the particle at this time is αms−1\sqrt{\alpha }m{s}^{-1}. The value of α\alpha is _______.JEE Main/Numerical/Medium/Rest and Motion
  16. 16Position of an ant ( SS in metres) moving in Y−ZY-Z plane is given by S=2t2j^+5k^S=2{t}^{2}\hat{j}+5\hat{k} (where tt is in second). The magnitude and direction of velocity of the ant at t=1st=1s will be :JEE Main/MCQ/Medium/Rest and Motion
  17. 17The position of a particle related to time is given by x=(5t2−4t+5)mx=(5{t}^{2}-4t+5)m. The magnitude of velocity of the particle at t=2t=2 s will be :JEE Main/MCQ/Medium/Rest and Motion
  18. 18The distance travelled by an object in time tt is given by s=(2.5)t2s=\left(2.5\right){t}^{2} . The instantaneous speed of the object att=5st=5s will be :JEE Main/MCQ/Medium/Rest and Motion
  19. 19Given below are two statements:
    Statement I : A truck and a car moving with same kinetic energy are brought to rest by applying breaks which provide equal retarding forces. Both come to rest in equal distance.
    Statement II : A car moving towards east takes a turn and moves towards north, the speed remains unchanged. The acceleration of the car is zero.
    In the light of given statements, choose the most appropriate answer from the options given below    JEE Main/MCQ/Medium/Rest and Motion
  20. 20A person travels xx distance with velocity v1{v}_{1} and then xx distance with velocity v2{v}_{2} in the same direction. The average velocity of the person is vv, then the relation between v,v1v,{v}_{1} and v2{v}_{2} will beJEE Main/MCQ/Medium/Rest and Motion
  21. 21As shown in the figure, a particle is moving with constant speed πms−1\pi m{s}^{-1}. Considering its motion from AA to BB, the magnitude of the average velocity is:
    JEE Main/MCQ/Medium/Rest and Motion/With diagram
  22. 22An object moves with speed v1,v2andv3{v}_{1},{v}_{2}\text{and}{v}_{3} along a line segment AB,BCandCDAB,BC\text{and}CD respectively as shown in figure. Where AB=BCandAD=3ABAB=BC\text{and}AD=3AB, then average speed of the object will be :
    JEE Main/MCQ/Medium/Rest and Motion/With diagram
  23. 23A vehicle travels 4km4km with speed of 3kmh−13km{h}^{-1} and another 4km4km with speed of 5kmh−15km{h}^{-1}, then its average speed is :JEE Main/MCQ/Medium/Rest and Motion
  24. 24A car travels a distance of xx with speed v1{v}_{1} and then same distance xx with speed v2{v}_{2} in the same direction. The average speed of the car is:JEE Main/MCQ/Medium/Rest and Motion
  25. 25A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of 10m10m in tsts, the distance travelled by the toy in the next tsts will be:JEE Main/MCQ/Medium/Rest and Motion
  26. 26A car covers ABAB distance with first one-third at velocity v1ms−1{v}_{1}{ms}^{-1}, second one-third at v2ms−1{v}_{2}{ms}^{-1} and last one-third at v3ms−1{v}_{3}{ms}^{-1}. If v3=3v1,v2=2v1{v}_{3}=3{v}_{1},{v}_{2}=2{v}_{1} and v1=11ms−1{v}_{1}=11{ms}^{-1}, then the average velocity of the car is _____ ms−1{ms}^{-1}.
    JEE Main/Numerical/Medium/Rest and Motion/With diagram
  27. 27Velocity (v)\left(v\right) and acceleration (a)\left(a\right) in two systems of units 11 and 22 are related as v2=nm2v1{v}_{2}=\dfrac{n}{{m}^{2}}{v}_{1} and a2=a1mn{a}_{2}=\dfrac{{a}_{1}}{mn} respectively. Here mm and nn are constants. The relations for distance and time in two systems respectively areJEE Main/MCQ/Medium/Rest and Motion
  28. 28Two buses PP and QQ start from a point at the same time and move in a straight line and their positions are represented by xP(t)=αt+βt2{x}_{P}\left(t\right)=\alpha t+\beta {t}^{2} and xQ(t)=ft−t2{x}_{Q}\left(t\right)=ft-{t}^{2}. At what time, both the buses have same velocity ?JEE Main/MCQ/Medium/Rest and Motion
  29. 29The instantaneous velocity of a particle moving in a straight line is given as v=αt+βt2v=\alpha t+\beta {t}^{2}, where α\alpha and β\beta are constants. The distance travelled by the particle between 1s1s and 2s2s is:JEE Main/MCQ/Medium/Rest and Motion
  30. 30The relation between time tt and distance xx for a moving body is given as t=mx2+nxt=m{x}^{2}+nx, where mm and nn are constants. The retardation of the motion is: (When vv stands for velocity)JEE Main/MCQ/Medium/Rest and Motion
  31. 31A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by the body in time tt is proportional to:JEE Main/MCQ/Medium/Rest and Motion
  32. 32The velocity of a particle is v=(v0+gt+Ft2)ms−1v=\left({v}_{0}+gt+F{t}^{2}\right)m{s}^{-1}. Its position is x=0x=0 at t=0;t=0; then its displacement after time (t=1s)(t=1s) is :JEE Main/MCQ/Medium/Rest and Motion
  33. 33A mosquito is moving with a velocity v⃗=0.5t2i^+3tj^+9k^ms−1\vec{v}=0.5{t}^{2}\hat{i}+3t\hat{j}+9\hat{k}m{s}^{-1} and accelerating in uniform conditions. What will be the direction of mosquitoes after 2s2s ?JEE Main/MCQ/Medium/Rest and Motion
  34. 34A scooter accelerates from rest for time t1{t}_{1} at constant rate a1{a}_{1} and then retards at constant rate a2{a}_{2} for time t2{t}_{2} and comes to rest. The correct value of t1t2\dfrac{{t}_{1}}{{t}_{2}} will be :JEE Main/MCQ/Medium/Rest and Motion
  35. 35An engine of a train, moving with uniform acceleration, passes the signal-post with velocity uu and the last compartment with velocity vv. The velocity with which middle point of the train passes the signal post is :JEE Main/MCQ/Medium/Rest and Motion
  36. 36When a car is at rest, its driver sees rain drops falling on it vertically. When driving the car with speed vv, he sees that rain drops coming at an angle 60∘{60}^{^{\circ}} from the horizontal. On further increasing the speed of the car to (1+β)v\left(1+\beta \right)v, this angle changes to 45∘{45}^{^{\circ}}. The value of β\beta is close to :JEE Main/MCQ/Medium/Rest and Motion
  37. 37A particle moving in the xyxy-plane experiences a velocity dependent force F⃗=k(υyi^+υxj^)\vec{F}=k\left({υ}_{y}\hat{i}+{υ}_{x}\hat{j}\right), where υx{υ}_{x} and υy{υ}_{y} are the xx and yy components of its velocity υ⃗\vec{υ}. If a⃗\vec{a} is the acceleration of the particle, then which of the following statements is true for the particle ?JEE Main/MCQ/Medium/Rest and Motion
  38. 38A balloon is moving up in air vertically above a point AA on the ground. When it is a height h1,{h}_{1}, a girl standing at a distance d (point B) from A (see figure) sees it at an angle 45∘45^{\circ} with respect to the vertical. When the balloon climbs up a further height h2{h}_{2}, it is seen at an angle 60∘60^{\circ} with respect to the vertical if the girl moves further by a distance 2.464d2.464d (point C). Then the height h2{h}_{2} is (given tan⁡30∘=0.5774\tan 30^{\circ}=0.5774):
    JEE Main/MCQ/Medium/Rest and Motion/With diagram
  39. 39The position vector of a particle changes with time according to the relation r⃗(t)=15t2i^+(4−20t2)j^.\vec{r}\left(t\right)=15{t}^{2}\hat{i}+\left(4-20{t}^{2}\right)\hat{j}. What is the magnitude of the acceleration at t=1?t=1?JEE Main/MCQ/Medium/Rest and Motion
  40. 40A paratrooper jumps from an aeroplane and opens a parachute after 2 s of free fall and starts deaccelerating with 3 m/s23 \mathrm{~m} / \mathrm{s}^{2}. At 10 m height from ground, while descending with the help of parachute, the speed of paratrooper is 5 m/s5 \mathrm{~m} / \mathrm{s}. The initial height of the airplane is ____\_\_\_\_ m.
    (g=10 m/s2)\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)    JEE Main/MCQ/Medium/Uniform Motion
  41. 41Two cars PP and QQ are moving on a road in the same direction. Acceleration of car PP increases linearly with time whereas car QQ moves with a constant acceleration. Both cars cross each other at time t=0t=0, for the first time. The maximum possible number of crossing(s) (including the crossing at t=0)t=0) is ________.JEE Main/Numerical/Medium/Uniform Motion
  42. 42A bus moving along a straight highway with speed of 72 km/h72 \mathrm{~km} / \mathrm{h} is brought to halt within 4s4 s after applying the brakes. The distance travelled by the bus during this time (Assume the retardation is uniform) is _____m.JEE Main/Numerical/Medium/Uniform Motion
  43. 43The relation between time ‘tt’ and distance ‘xx’ is t=αx2+βxt=\alpha {x}^{2}+\beta x, where α\alpha and β\beta are constants. The relation between acceleration (a)\left(a\right) and velocity (v)\left(v\right) is:JEE Main/MCQ/Medium/Uniform Motion
  44. 44A body starts moving from rest with constant acceleration covers displacement S1{S}_{1} in first (p−1)(p-1) seconds and S2{S}_{2} in first pp seconds. The displacement S1+S2{S}_{1}+{S}_{2} will be made in time :JEE Main/MCQ/Medium/Uniform Motion
  45. 45A bullet is fired into a fixed target looses one third of its velocity after travelling 4cm4cm. It penetrates further D×10−3mD\times {10}^{-3}m before coming to rest. The value of DD is :JEE Main/MCQ/Medium/Uniform Motion
  46. 46A ball is thrown vertically upward with an initial velocity of 150ms−1150m{s}^{-1}. The ratio of velocity after 3s3s and 5s5s is x+1x\dfrac{x+1}{x}. The value of xx is _____. {take, g=10ms−2g=10m{s}^{-2}}JEE Main/MCQ/Medium/Uniform Motion
  47. 47A particle starts with an initial velocity of 10.0ms−110.0{ms}^{-1} along xx-direction and accelerates uniformly at the rate of 2.0ms−22.0m{s}^{-2}. The time taken by the particle to reach the velocity of 60.0ms−160.0m{s}^{-1} is _____.JEE Main/MCQ/Medium/Uniform Motion
  48. 48For a train engine moving with speed of 20ms–120{ms}^{–1}, the driver must apply brakes at a distance of 500m500m before the station for the train to come to rest at the station. If the brakes were applied at half of this distance, the train engine would cross the station with speed xms−1\sqrt{x}{ms}^{-1}. The value of xx is ______. (Assuming same retardation is produced by brakes)JEE Main/Numerical/Medium/Uniform Motion
  49. 49A horse rider covers half the distance with 5ms−15m{s}^{-1} speed. The remaining part of the distance was travelled with speed 10ms−110m{s}^{-1} for half the time and with speed 15ms−115m{s}^{-1} for other half of the time. The mean speed of the rider averaged over the whole time of motion is x7ms−1\dfrac{x}{7}m{s}^{-1}. The value of xx is ______.JEE Main/Numerical/Medium/Uniform Motion
  50. 50The velocity of the bullet becomes one third after it penetrates 4cm4cm in a wooden block. Assuming that bullet is facing a constant resistance during its motion in the block. The bullet stops completely after travelling at (4+x)cm\left(4+x\right)cm inside the block. The value of xx isJEE Main/MCQ/Medium/Uniform Motion
  51. 51A car is moving with speed of 150kmh−1150km{h}^{-1} and after applying the brake it will move 27m27m before it stops. If the same car is moving with a speed of one third the reported speed then it will stop after travelling _____ mm distance.JEE Main/Numerical/Medium/Uniform Motion
  52. 52If the velocity of a body related to displacement xx is given by v=5000+24xms−1,v=\sqrt{5000+24x}m{s}^{-1}, then the acceleration of the body is _________ ms−2.m{s}^{-2}.JEE Main/Numerical/Medium/Uniform Motion
  53. 53Two spherical balls having equal masses with radius of 5cm5cm each are thrown upwards along the same vertical direction at an interval of 3s3s with the same initial velocity of 35ms−135m{s}^{-1}, then these balls collide at a height of _____mm,
    (take     g=10ms−2g=10m{s}^{-2})    JEE Main/Numerical/Medium/Uniform Motion
  54. 54A particle of mass MM originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation F=F0[1−(t−TT)2]F={F}_{0}\left[1-{\left(\dfrac{t-T}{T}\right)}^{2}\right] where F0{F}_{0} and TT are constants. The force acts only for the time interval 2T2T. The velocity vv of the particle after time 2T2T is:JEE Main/MCQ/Medium/Uniform Motion
  55. 55A body of mass 2kg2kg moves under a force of (2i^+3j^+5k^)N\left(2\hat{i}+3\hat{j}+5\hat{k}\right)N It starts from rest and was at the origin initially. After 4s4s, its new coordinates are (8,b,20)\left(8,b,20\right). The value of bb is ______.
    (Round off to the Nearest Integer)    JEE Main/Numerical/Medium/Uniform Motion
  56. 56A boy pushes a box of mass 2kg2kg with a force F⃗=(20i^+10j^)N\vec{F}=\left(20\hat{i}+10\hat{j}\right)N on a frictionless surface. If the box was initially at rest, then _______ mm is displacement along the xx-axis after 10s10sJEE Main/Numerical/Medium/Uniform Motion
  57. 57A stone is dropped from the top of a building. When it crosses a point 5m5m below the top, another stone starts to fall from a point 25m25m below the top. Both stones reach the bottom of building simultaneously. The height of the building is :JEE Main/MCQ/Medium/Uniform Motion
  58. 58A helicopter rises from rest on the ground vertically upwards with a constant acceleration g. A food packet is dropped from the helicopter when it is at a height h. The time taken by the packet to reach the ground is close to [gg is the acceleration due to gravity]:JEE Main/MCQ/Medium/Uniform Motion
  59. 59Starting from the origin at time t=0\text{t}=0, with initial velocity 5j⏜ms−15j^{⏜}{\text{ms}}^{-1}, a particle moves in the xx -yy plane with a constant acceleration of (10i⏜+4j⏜)ms−2\left(10i^{⏜}+4j^{⏜}\right){\text{ms}}^{-2}. At time t\text{t}, its coordinates are (20m, y0m)\left(20{\text{m, y}}_{0}\text{m}\right). The values of t\text{t} and y0{\text{y}}_{0} are, respectively:JEE Main/MCQ/Medium/Uniform Motion
  60. 60A ball is dropped from the top of a 100m100m high tower on a planet. In the last 12s\dfrac{1}{2}s before hitting the ground, it covers a distance of 19m.19m. Acceleration due to gravity (in ms−2m{s}^{-2} ) near the surface on that planet is______JEE Main/Numerical/Medium/Uniform Motion
  61. 61A particle of mass mm and charge qq is released from rest in a uniform electric field. If there is no other force on the particle, the dependence of its speed vv on the distance xx travelled by it is correctly given by (graphs are schematic and not drawn to scale)JEE Main/MCQ/Medium/Uniform Motion
  62. 62A bullet of mass 20g20g has an initial speed of 1ms−11m{s}^{-1}, just before it starts penetrating a mud wall of thickness 20cm20cm. If the wall offers a mean resistance of 2.5×10−2N,2.5\times {10}^{-2}N, the speed of the bullet after emerging from the other side of the wall is close to:JEE Main/MCQ/Medium/Uniform Motion
  63. 63A ball is thrown vertically up (taken as +z−axis+z-axis ) from the ground. The correct momentum-height (p−h)(p-h) diagram is:JEE Main/MCQ/Medium/Uniform Motion
  64. 64An automobile, traveling at 40kmh−140km{h}^{-1}, can be stopped at a distance of 40m40m by applying brakes. If the same automobile is traveling at 80kmh−180km{h}^{-1}, the minimum stopping distance in metres is (Assume no skidding):JEE Main/MCQ/Medium/Uniform Motion
  65. 65An automobile, travelling at 40 km/h40 \mathrm{~km} / \mathrm{h}, can be stopped at a distance of 40 m40 \mathrm{~m} by applying brakes. If the same automobile is travelling at 80 km/h80 \mathrm{~km} / \mathrm{h}, the minimum stopping distance, in metres, is (assume no skidding)JEE Main/MCQ/Medium/Uniform Motion
  66. 66From the top of a 6464 metres high tower, a stone is thrown upwards vertically with the velocity of 48m/s.48m/s. The greatest height (in metres) attained by the stone, assuming the value of the gravitational acceleration g=32m/s2g=32m/{s}^{2}, is:JEE Main/MCQ/Medium/Uniform Motion
  67. 67A bullet loses (1n)th{\left(\dfrac{1}{n}\right)}^{th} of its velocity passing through one plank. Considering uniform retardation, the number of such planks that are required to stop the bullet can be:JEE Main/MCQ/Medium/Uniform Motion
  68. 68A goods train accelerating uniformly on a straight railway track, approaches an electric pole standing on the side of track. Its engine passes the pole with velocity uu and the guard's room passes with velocity vv. The middle wagon of the train passes the pole with a velocity.JEE Main/MCQ/Medium/Uniform Motion
  69. 69Consider a rubber ball freely falling from a height h=4.9 mh=4.9 \mathrm{~m} onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic. Then the velocity as a function of time the height as function of time will beJEE Main/MCQ/Medium/Uniform Motion
  70. 70A particle has an initial velocity 3i^+4j^3 \hat{i}+4 \hat{j} and an acceleration of 0.4i^+0.3j^0.4 \hat{i}+0.3 \hat{j}. Its speed after 10 s isJEE Main/MCQ/Medium/Uniform Motion
  71. 71A body falling from rest under gravity passes a certain point PP. It was at a distance of 400 m400 \mathrm{~m} from P,4 sP, 4 \mathrm{~s} prior to passing through PP. If g=10 m/s2g=10 \mathrm{~m} / \mathrm{s}^2, then the height above the point P\mathrm{P} from where the body began to fall isJEE Main/MCQ/Medium/Uniform Motion
  72. 72AA and BB are two like parallel forces. A couple of moment H\mathrm{H} lies in the plane of AA and BB and is contained with them. The resultant of AA and BB after combining is displaced through a distanceJEE Main/MCQ/Medium/Uniform Motion
  73. 73Two points AA and BB move from rest along a straight line with constant acceleration ff and ff ' respectively. If AA takes mm sec. more than BB and describes ' nn ' units more than BB in acquiring the same speed thenJEE Main/MCQ/Medium/Uniform Motion
  74. 74A ball is thrown from a point with a speed v0v_0 at an angle of projection θ\theta. From the same point and at the same instant person starts running with a constant speed v0/2v_0 / 2 to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection?JEE Main/MCQ/Medium/Uniform Motion
  75. 75An automobile travelling with speed of 60 km/h60 \mathrm{~km} / \mathrm{h}, can brake to stop within a distance of 20 cm20 \mathrm{~cm}. If the car is going twice as fast, i.e 120 km/h120 \mathrm{~km} / \mathrm{h}, the stopping distance will beJEE Main/MCQ/Medium/Uniform Motion
  76. 76A body travels a distance ss in tt seconds. It starts from rest and ends at rest. In the first part of the journey, it moves with constant acceleration f\mathrm{f} and in the second part with constant retardation r\mathrm{r}. The value of t\mathrm{t} is given byJEE Main/MCQ/Medium/Uniform Motion
  77. 77A car, moving with a speed of 50 km/hr50 \mathrm{~km} / \mathrm{hr}, can be stopped by brakes after at least 6 m6 \mathrm{~m}. If the same car is moving at a speed of 100 km/hr100 \mathrm{~km} / \mathrm{hr}, the minimum stopping distance isJEE Main/MCQ/Medium/Uniform Motion
  78. 78Speeds of two identical cars are uu and 4u4 u at the specific instant. The ratio of the respective distances in which the two cars are stopped from that instant isJEE Main/MCQ/Medium/Uniform Motion
  79. 79If a body looses half of its velocity on penetrating 3 cm in a wooden block, then how much will it
    penetrate more before coming to rest?    JEE Main/MCQ/Medium/Uniform Motion
  80. 80From a building two balls A\mathrm{A} and B\mathrm{B} are thrown such that A\mathrm{A} is thrown upwards A\mathrm{A} and B\mathrm{B} downwards (both vertically). If vA\mathrm{v}_{\mathrm{A}} and vB\mathrm{v}_{\mathrm{B}} are their respective velocities on reaching the ground, thenJEE Main/MCQ/Medium/Uniform Motion
  81. 81The velocity (vv) versus time (tt) plot of a particle is shown in the figure, for a time interval of 40 s40\text{ s}. The total distance travelled by the particle and the average velocity during this period are, respectively _______.
    JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  82. 82The velocity (v)(v) - Distance (x)(x) graph is shown in figure. Which graph represents acceleration (a)(a) versus distance (x)(x) variation of this system?
    JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  83. 83The displacement x versus time graph is shown below.

    (A) The average velocity during 0 to 3 s is     10 m/s10 \mathrm{~m} / \mathrm{s}
    (B) The average velocity during 3 to 5 s is     0 m/s0 \mathrm{~m} / \mathrm{s}
    (C) The instantaneous velocity at     t=2 s\mathrm{t}=2 \mathrm{~s} is 5 m/s5 \mathrm{~m} / \mathrm{s}
    (D) The average velocity during 5 to 7 s and instantaneous velocity at     t=6.5 s\mathrm{t}=6.5 \mathrm{~s} are equal
    (E) The average velocity from     t=0t=0 to t=9 st=9 \mathrm{~s} is zero
    Choose the correct answer from the options given below:    JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  84. 84Which of the following curves possibly represent one-dimensional motion of a particle?




    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  85. 85The velocity-time graph of an object moving along a straight line is shown in figure. What is the distance covered by the object between t=0t=0 to t=4 st=4 \mathrm{~s} ?
    JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  86. 86The motion of an airplane is represented by velocity-time graph as shown below. The distance covered by airplane in the first 30.5 second is _______ km .
    JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  87. 87A small steel ball is dropped into a long cylinder containing glycerine. Which one of the following is the correct representation of the velocity time graph for the transit of the ball?JEE Main/MCQ/Medium/Graphs of motion in one dimension
  88. 88Form the v−tv-t graph shown, the ratio of distance to displacement in 25s25s of motion is:
    JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  89. 89The position-time graphs for two students AA and BB returning from the school to their homes are shown in figure.

    (A)     AA lives closer to the school
    (B)     BB lives closer to the school
    (C)     AA takes lesser time to reach home
    (D)     AA travels faster than BB
    (E)     BB travels faster than AA
    Choose the correct answer from the options given below    JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  90. 90Given below are two statements:
    Statement I: Area under velocity-time graph gives the distance travelled by the body in a given time.
    Statement II: Area under acceleration-time graph is equal to the change in velocity in the given time.
    In the light of given statements, choose the correct answer from the options given below.    JEE Main/MCQ/Medium/Graphs of motion in one dimension
  91. 91Match Column-I with Column-II : Column-I (x-t graphs) Column-II (v-t graphs) A I B II C III D IV Choose the correct answer from the options given below:JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  92. 92The velocity-time graph of a body moving in a straight line is shown in figure. The ratio of displacement and distance travelled by the body in time 00 to 10s10s isJEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  93. 93A bullet is shot vertically downwards with an initial velocity of 100ms−1100m{s}^{-1} from a certain height. Within 10s10s, the bullet reaches the ground and instantaneously comes to rest due to the perfectly inelastic collision. The velocity-time curve for total time t=20st=20s will be : (Take g=10ms−2g=10m{s}^{-2})JEE Main/MCQ/Medium/Graphs of motion in one dimension
  94. 94An object of mass mm is being moved with a constant velocity under the action of an applied force of 2N2N along a frictionless surface with following surface profile.

    The correct applied force vs distance graph will be :    JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  95. 95A particle is moving with constant acceleration a.a. Following graph shows v2{v}^{2} versus xx (displacement) plot. The acceleration of the particle is _________ ms−2.m{s}^{-2}.
    JEE Main/Numerical/Medium/Graphs of motion in one dimension/With diagram
  96. 96The velocity-displacement graph of a particle is shown in the figure.

    The acceleration-displacement graph of the same particle is represented by :    JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  97. 97The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by :JEE Main/MCQ/Medium/Graphs of motion in one dimension
  98. 98A car accelerates from rest at a constant rate α\alpha for some time after which it decelerates at a constant rate β\beta to come to rest. If the total time elapsed is t seconds, the total distance travelled is:JEE Main/MCQ/Medium/Graphs of motion in one dimension
  99. 99The velocity-displacement graph describing the motion of a bicycle is shown in the figure.

    The acceleration-displacement graph of the bicycle's motion is best described by :    JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  100. 100If the velocity-time graph has the shape AMB,AMB, what would be the shape of the corresponding acceleration-time graph?
    JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  101. 101The velocity (v)(v) and time (t)(t) graph of a body in a straight line motion is shown in the figure. The point SS is at 4.3334.333 seconds. The total distance covered by the body in 6s6s is :
    JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  102. 102The speed verses time graph for a particle is shown in the figure. The distance travelled (in mm) by the particle during the time interval t=0t=0 to t=5t=5 ss will be __________
    JEE Main/Numerical/Medium/Graphs of motion in one dimension/With diagram
  103. 103A particle is moving unidirectional on a horizontal plane under the action of a constant power supplying energy source. The displacement (s) – time (t) graph that describes the motion of the particle is (graphs are drawn schematically and are not to scale):JEE Main/MCQ/Medium/Graphs of motion in one dimension
  104. 104A particle starts from origin OO from rest and moves with a uniform acceleration along the positive x−axisx-axis . Identify all figures that correctly represent the motion qualitatively.
    (     a=a= acceleration, v=v= velocity, x=x= dispalcement, t=t= time)
    (A)\left(A\right)
    (B)\left(B\right)
    (C)(C)
    (D)(D)     JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  105. 105A particle starts from the origin at time t=0t=0 and moves along the positive x−x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t=5s?t=5s?

    JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  106. 106The velocity time graphs of a car and a scooter are shown in the figure. (i) The difference between the distance travelled by the car and the scooter in 15 s and (ii) the time at which the car will catch up with the scooter are, respectively.

    JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  107. 107The velocity-time graphs of a car and a scooter are shown in the figure. (i) the difference between the distance travelled by the car and the scooter in 15 s15 \mathrm{~s} and (ii) the time at which the car will catch up with the scooter are, respectively
    JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  108. 108All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick it up.JEE Main/MCQ/Medium/Graphs of motion in one dimension
  109. 109Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity?JEE Main/MCQ/Medium/Graphs of motion in one dimension
  110. 110A body is thrown vertically upwards. Which one of the following graphs correctly represents the velocity(v)\left(v\right) vs time (t)\left(t\right)?JEE Main/MCQ/Medium/Graphs of motion in one dimension
  111. 111Two stones are thrown up simultaneously from the edge of a cliff 240m240m high with an initial speed of 10ms−110m{s}^{-1} and 40ms−140m{s}^{-1} respectively. Which of the following graph best represents the time variation of the relative position of the second stone with respect to the first? (Assume stones do not rebound after hitting the ground and neglect air resistance, take g=10ms−2g=10{ms}^{-2})(the figure are schematic and not drawn to scale)JEE Main/MCQ/Medium/Graphs of motion in one dimension
  112. 112A block is placed on a rough horizontal plane. A time dependent horizontal force F=kt\mathrm{F}=\mathrm{kt} acts on the block, where k\mathrm{k} is a positive constant. The acceleration - time graph of the block is :JEE Main/MCQ/Medium/Graphs of motion in one dimension
  113. 113A ball is dropped vertically downwards from a height hh above the ground. It hits the ground inelastically and bounces up vertically. Neglecting subsequent motion and air resistance, which of the following graph represents variation between speed (v)(v) and height (h)(h) correctly?JEE Main/MCQ/Medium/Graphs of motion in one dimension
  114. 114The distance travelled by a body moving along a line in time tt is proportional to t3t^3.
    The acceleration-time     (a,t)(a, t) graph for the motion of the body will be    JEE Main/MCQ/Medium/Graphs of motion in one dimension
  115. 115The graph of an object's motion (along the x−x- axis) is shown in the figure. The instantaneous velocity of the object at points AA and BB are vAv_A and vBv_B respectively. Then
    JEE Main/MCQ/Medium/Graphs of motion in one dimension/With diagram
  116. 116A body is at rest at x=0x=0. At t=0t=0, it starts moving in the positive xx-direction with a constant acceleration. At the same instant another body passes through x=0x=0 moving in the positive xx direction with a constant speed. The position of the first body is given by x1(t)\mathrm{x}_1(\mathrm{t}) after time ' t\mathrm{t} ' and that of the second body by x2(t)x_2(t) after the same time interval. Which of the following graphs correctly describes (x1−x2)\left(x_1-x_2\right) as a function of time ' tt '?JEE Main/MCQ/Medium/Graphs of motion in one dimension
  117. 117A car starting from rest accelerates at the rate ff through a distance SS, then continues at constant speed for time tt and then decelerates at the rate f/2f / 2 to come to rest. If the total distance traversed is 15 S15 \mathrm{~S}, thenJEE Main/MCQ/Medium/Graphs of motion in one dimension
  118. 118Two masses of 3.43.4 kg and 2.52.5 kg are accelerated from an initial speed of 55 m/s and 1212 m/s, respectively. The distances traversed by the masses in the 5th5^\text{th} second are 104104 m and 129129 m, respectively. The ratio of their momenta after 1010 s is x8\dfrac{x}{8}. The value of xx is ________.JEE Main/Numerical/Medium/Non-uniform Motion
  119. 119The velocity of a particle is given as v⃗=−xi^+2yj^−zk^\vec{v} = -x\hat{i} + 2y\hat{j} - z\hat{k} m/s. The magnitude of acceleration at point (1,2,4)(1, 2, 4) is _______ m/s2^2.JEE Main/MCQ/Medium/Non-uniform Motion
  120. 120A particle starts moving from time t=0t=0 and its coordinate is given as x(t)=4t3−3tx(t)=4 t^{3}-3 t
    A. The particle returns to its original position (origin) 0.866 units later
    B. The particle is 1 unit away from origin at its turning point
    C. Acceleration of the particle is non-negative
    D. The particle is 0.5 units away from origin at its turning point
    E. Particle never turns back as acceleration is non-negative
    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Non-uniform Motion
  121. 121A body of mass 2 kg moving with velocity of v→in=3i^+4j^ms−1\overrightarrow{\mathrm{v}}_{\mathrm{in}}=3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}} \mathrm{ms}^{-1} enters into a constant force field of 6 N directed along positive z -axis. If the body remains in the field for a period of 53\frac{5}{3} seconds, then velocity of the body when it emerges from force field isJEE Main/MCQ/Medium/Non-uniform Motion
  122. 122A particle moves along the xx-axis and has its displacement xx varying with time tt according to the equation x=c0(t2−2)+c(t−2)2\mathrm{x}=\mathrm{c}_0\left(\mathrm{t}^2-2\right)+\mathrm{c}(\mathrm{t}-2)^2 where c0c_0 and cc are constants of appropriate dimensions. Then, which of the following statements is correct?JEE Main/MCQ/Medium/Non-uniform Motion
  123. 123A body moves on a frictionless plane starting from rest. If SnS_n is distance moved between t=n−1t=n-1 and t=n\mathrm{t}=\mathrm{n} and Sn−1\mathrm{S}_{\mathrm{n}-1} is distance moved between t=n−2\mathrm{t}=\mathrm{n}-2 and t=n−1\mathrm{t}=\mathrm{n}-1, then the ratio Sn−1 Sn\frac{\mathrm{S}_{\mathrm{n}-1}}{\mathrm{~S}_{\mathrm{n}}} is (1−2x)\left(1-\frac{2}{x}\right) for n=10\mathrm{n}=10. The value of xx is ______.JEE Main/Numerical/Medium/Non-uniform Motion
  124. 124A particle initially at rest starts moving from reference point x=0x=0 along xx-axis, with velocity vv that varies as v=4xms−1v=4\sqrt{x}m{s}^{-1}. The acceleration of the particle is _____ ms−2m{s}^{-2}.JEE Main/Numerical/Medium/Non-uniform Motion
  125. 125A particle of mass 10g10gmoves in a straight line with retardation 2x,2x, where xx is the displacement in SISI units. Its loss of kinetic energy for above displacement is (10x)−nJ.{\left(\dfrac{10}{x}\right)}^{-n}J. The value of nn will be ________.JEE Main/Numerical/Medium/Non-uniform Motion
  126. 126The distance travelled by a particle is related to time tt as x=4t2x=4{t}^{2}. The velocity of the particle at t=5st=5s isJEE Main/MCQ/Medium/Non-uniform Motion
  127. 127If t=x+4t=\sqrt{x}+4, then (dxdt)t=4{\left(\dfrac{dx}{dt}\right)}_{t=4} is:JEE Main/MCQ/Medium/Non-uniform Motion
  128. 128A particle is moving in a straight line such that its velocity is increasing at 5ms−15{ms}^{-1} per meter. The acceleration of the particle is _____ ms−2m{s}^{-2} at a point where its velocity is 20ms−120{ms}^{-1}.JEE Main/Numerical/Medium/Non-uniform Motion
  129. 129An object is thrown vertically upwards. At its maximum height, which of the following quantity becomes zero ?JEE Main/MCQ/Medium/Non-uniform Motion
  130. 130A small ball of mass mm is thrown upward with velocity uu from the ground. The ball experiences a resistive force mkv2mk{v}^{2} where vv is it speed. The maximum height attained by the ball is :JEE Main/MCQ/Medium/Non-uniform Motion
  131. 131A particle of charge qq and mass mm is subjected to an electric field E=E0(1–ax2)E={E}_{0}\left(1–a{x}^{2}\right) in the x−x-direction, where a and E0{E}_{0} are constants. Initially the particle was at rest at x=0x=0. Other than the initial position the kinetic energy of the particle becomes zero when the distance of the particle from the origin is :JEE Main/MCQ/Medium/Non-uniform Motion
  132. 132The distance xx covered by a paritcle in one dimensional motion varies with time tt as x2=at2+2bt+c{x}^{2}=a{t}^{2}+2bt+c . If the acceleration of the particle depends on xx as x−n{x}^{-n} , where nn is an integer, the value of nn is _________JEE Main/Numerical/Medium/Non-uniform Motion
  133. 133A particle is moving with speed v=bxv=b\sqrt{x} along positive x−x- axis. Calculate the speed of the particle at time t=τt=\tau (assume that the particle is at origin at t=0t=0 )JEE Main/MCQ/Medium/Non-uniform Motion
  134. 134The position of a particle as a function of time t,t, is given by x(t)=at+bt2−ct3x\left(t\right)=at+b{t}^{2}-c{t}^{3} where a,ba,b and cc are constants. When the particles zero acceleration, then its velocity will be:JEE Main/MCQ/Medium/Non-uniform Motion
  135. 135An object, moving with a speed of 6.25 m/s6.25 \mathrm{~m} / \mathrm{s}, is decelerated at a rate given by :
    dvdt=−2.5v\frac{\mathrm{dv}}{\mathrm{dt}}=-2.5 \sqrt{\mathrm{v}}
    where     vv is the instantaneous speed. The time taken by the object, to come to rest, would be:    JEE Main/MCQ/Medium/Non-uniform Motion
  136. 136The velocity of a particle is v=v0+gt+ft2\mathrm{v}=\mathrm{v}_0+\mathrm{gt}+\mathrm{ft}^2. If its position is x=0\mathrm{x}=0 at t=0\mathrm{t}=0, then its displacement after unit time (t=1)(t=1) isJEE Main/MCQ/Medium/Non-uniform Motion
  137. 137A particle located at x=0x=0 at time t=0t=0, starts moving along the positive xx-direction with a velocity ' vv ' that varies as v=αxv=\alpha \sqrt{x}. The displacement of the particle varies with time asJEE Main/MCQ/Medium/Non-uniform Motion
  138. 138The relation between time tt and distance x\mathrm{x} is t=ax2+bx\mathrm{t}=a \mathrm{x}^2+\mathrm{bx} where a\mathrm{a} and b\mathrm{b} are constants. The acceleration isJEE Main/MCQ/Medium/Non-uniform Motion
  139. 139The co-ordinates of a moving particle at any time ' tt ' are given by x=αt3x=\alpha t^3 and y=βt3y=\beta t^3. The speed of the particle at time ' tt ' is given byJEE Main/MCQ/Medium/Non-uniform Motion
  140. 140Two cars AA and BB are moving in the same direction along a straight line with speeds 100100 km/h and 8080 km/h, respectively such that car AA is moving ahead of car BB. A person in car BB throws a stone with a speed vv so that it hits the car AA with a speed of 55 m/s. The value of vv is ______ km/h.JEE Main/MCQ/Medium/Relative Motion
  141. 141The maximum speed of a boat in still water is \(27 \mathrm{~km} / \mathrm{h}\). Now this boat is moving downstream in a river flowing at \(9 \mathrm{~km} / \mathrm{h}\). A man in the boat throws a ball vertically upwards with speed of \(10 \mathrm{~m} / \mathrm{s}\). Range of the ball as observed by an observer at rest on the river bank, is _______ cm. (Take \(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2\))JEE Main/Numerical/Medium/Relative Motion
  142. 142Two cars are travelling towards each other at speed of 20 m s−120 \mathrm{~m} \mathrm{~s}^{-1} each. When the cars are 300 m300 \mathrm{~m} apart, both the drivers apply brakes and the cars retard at the rate of 2 m s−22 \mathrm{~m} \mathrm{~s}^{-2}. The distance between them when they come to rest is :JEE Main/MCQ/Medium/Relative Motion
  143. 143Train A is moving along two parallel rail tracks towards north with 72kmh−172km{h}^{-1} and train BB is moving towards south with speed 108kmh−1108km{h}^{-1}. Velocity of train BB with respect to AA and velocity of ground with respect to BB are (in ms−1m{s}^{-1}):JEE Main/MCQ/Medium/Relative Motion
  144. 144A passenger sitting in a train A moving at 90kmh−190km{h}^{-1} observes another train B moving in the opposite direction for 8s8s. If the velocity of the train B is 54kmh−154km{h}^{-1}, then length of train B is:JEE Main/MCQ/Medium/Relative Motion
  145. 145Two trains AA and BB of length ll and 4l4l are travelling into a tunnel of length LL in parallel tracks from opposite directions with velocities 108kmh−1108km{h}^{-1} and 72kmh−1,72km{h}^{-1}, respectively. If train AA take 35s35s less time than train BB to cross the tunnel then, length LL of tunnel is:
    (Given     L=60lL=60l)    JEE Main/MCQ/Medium/Relative Motion
  146. 146Train AA and train BB are running on parallel tracks in the opposite directions with speed of 36kmhour−136km{hour}^{-1} and 72kmhour−172km{hour}^{-1}, respectively. A person is walking in train AA in the direction opposite to its motion with a speed of 1.8kmhour−11.8km{hour}^{-1}. Speed (inms−1)\left(inm{s}^{-1}\right) of this person as observed from train BB will be close to: (take the distance between the tracks as negligible)JEE Main/MCQ/Medium/Relative Motion
  147. 147A particle is moving along the xx -axis with its coordinate with time tt given by x(t)=10+8t−3t2.x\left(t\right)=10+8t-3{t}^{2}. Another particle is moving along the yy -axis with its coordinate as a function of time given by y(t)=5−8t3.y\left(t\right)=5-8{t}^{3}. At t=1s,t=1s, the speed of the second particle as measured in the frame of the first particle is given as v.\sqrt{v}. Then v(inms−1)v\left(inm{s}^{-1}\right) is ___________.JEE Main/Numerical/Medium/Relative Motion
  148. 148A car is standing 200m200m behind a bus, which is also at rest. The two start moving at the same instant but with different forward accelerations. The bus has acceleration 2ms−22m{s}^{-2} and the car has acceleration 4ms−24m{s}^{-2} . The car will catch up with the bus after time :JEE Main/MCQ/Medium/Relative Motion
  149. 149A person climbs up a stalled escalator in 60 s60 \mathrm{~s}. If standing on the same but escalator running with constant velocity he takes 40 s40 \mathrm{~s}. How much time is taken by the person to walk up the moving escalator?JEE Main/MCQ/Medium/Relative Motion
  150. 150Two particles start simultaneously from the same point and move along two straight lines, one with uniform velocity u→\overrightarrow{\mathrm{u}} and the other from rest with uniform acceleration f→\overrightarrow{\mathrm{f}}. Let α\alpha be the angle between their directions of motion. The relative velocity of the second particle w.r.t. the first is least after a time.JEE Main/MCQ/Medium/Relative Motion
  151. 151A gas balloon is going up with a constant velocity of 1010 m/s. When this balloon reached a height of 7575 m, a stone is dropped from it and balloon keeps moving up with the same velocity. The height of the balloon when the stone hits the ground is ________ m. (Take g=10g=10 m/s2^2)JEE Main/MCQ/Medium/Motion Under Gravity
  152. 152From 1818 m height above the ground a ball is dropped from rest. The height above the ground at which the magnitude of velocity equal to the magnitude of acceleration (in the same set of units) due to gravity is _____ m.
    (Take     g=10g = 10 m/s2^2 and neglect the air resistance)    JEE Main/Numerical/Medium/Motion Under Gravity
  153. 153Water drops fall from a tap on the floor, 5 m below, at regular intervals of time, the first drop strikes the floor when the sixth drop begins to fall. The height at which the fourth drop will be from ground, at the instant when the first drop strikes the ground is ____\_\_\_\_ m.
    (g=10 m/s2)\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)    JEE Main/MCQ/Medium/Motion Under Gravity
  154. 154A helicopter flying horizontally with a speed of 360 km/h360 \mathrm{~km} / \mathrm{h} at an altitude of 2 km , drops an object at an instant. The object hits the ground at a point O , 20 s after it is dropped. Displacement of ' O ' from the position of helicopter where the object was released is :
    (use acceleration due to gravity     g=10 m/s2\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2 and neglect air resistance)    JEE Main/MCQ/Medium/Motion Under Gravity
  155. 155A body projected vertically upwards with a certain speed from the top of a tower reaches the ground in t1t_1. If it is projected vertically downwards from the same point with the same speed, it reaches the ground in t2t_2. Time required to reach the ground, if it is dropped from the top of the tower, is :JEE Main/MCQ/Medium/Motion Under Gravity
  156. 156A body falling under gravity covers two points AA and BB separated by 80m80m in 2s2s. The distance of upper point AA from the starting point is _____mm. Use (g=10ms−2)\left(g=10m{s}^{-2}\right)JEE Main/Numerical/Medium/Motion Under Gravity
  157. 157An object is allowed to fall from a height RR above the earth, where RR is the radius of earth. Its velocity when it strikes the earth’s surface, ignoring air resistance, will be :JEE Main/MCQ/Medium/Motion Under Gravity
  158. 158A tennis ball is dropped on to the floor from a height of 9.8m9.8m. It rebounds to a height 5.0m5.0m. Ball comes in contact with the floor for 0.2s0.2s. The average acceleration during contact is ______ ms−2m{s}^{-2}. [Given g=10ms−2g=10m{s}^{-2}]JEE Main/Numerical/Medium/Motion Under Gravity
  159. 159A ball is released from a height hh. If t1{t}_{1} and t2{t}_{2} be the time required to complete first half and second half of the distance respectively. Then, choose the correct relation between t1{t}_{1} and t2{t}_{2}.JEE Main/MCQ/Medium/Motion Under Gravity
  160. 160A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest position, he throws the next ball. Assuming the juggler throws nn balls per second, the maximum height the balls can reach isJEE Main/MCQ/Medium/Motion Under Gravity
  161. 161A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height hh. Find the ratio of the times in which it is at height h3\dfrac{h}{3} while going up and coming down respectively.JEE Main/MCQ/Medium/Motion Under Gravity
  162. 162A ball is thrown vertically upwards with a velocity of 19.6ms−119.6m{s}^{-1} from the top of a tower. The ball strikes the ground after 6s6s. The height from the ground up to which the ball can rise will be (k5)m\left(\dfrac{k}{5}\right)m. The value of kk is _____ (use g=9.8ms−2g=9.8m{s}^{-2})JEE Main/Numerical/Medium/Motion Under Gravity
  163. 163A NCC parade is going at a uniform speed of 9kmh−19km{h}^{-1} under a mango tree on which a monkey is sitting at a height of 19.6m19.6m. At any particular instant, the monkey drops a mango. A cadet will receive the mango whose distance from the tree at time of drop is :
    (Given     g=9.8ms−2g=9.8m{s}^{-2})    JEE Main/MCQ/Medium/Motion Under Gravity
  164. 164Two balls AA and BB are placed at the top of 180m180m tall tower. Ball AA is released from the top at t=0st=0s. Ball BB is thrown vertically down with an initial velocity uu at t=2st=2s. After a certain time, both balls meet 100m100m above the ground. Find the value of uu in ms−1m{s}^{-1}. [use g=10ms−2g=10{ms}^{-2}]JEE Main/MCQ/Medium/Motion Under Gravity
  165. 165Motion of a particle in x−yx-y plane is described by a set of following equations x=4sin⁡(π2−ωt)mx=4\sin \left(\dfrac{\pi }{2}-\omega t\right)m and y=4sin⁡(ωt)my=4\sin \left(\omega t\right)m. The path of the particle will beJEE Main/MCQ/Medium/Motion Under Gravity
  166. 166When a ball is dropped into a lake from a height 4.9m4.9m above the water level, it hits the water with a velocity vv and then sinks to the bottom with the constant velocity vv. It reaches the bottom of the lake 4.0s4.0s after it is dropped. The approximate depth of the lake isJEE Main/MCQ/Medium/Motion Under Gravity
  167. 167A ball is projected vertically upward with an initial velocity of 50ms−150{ms}^{-1} at t=0st=0s. At t=2st=2s, another ball is projected vertically upward with same velocity. At t=t=____ss, second ball will meet the first ball (g=10ms−2)\left(g=10{ms}^{-2}\right).JEE Main/Numerical/Medium/Motion Under Gravity
  168. 168A ball of mass 0.5kg0.5kg is dropped from the height of 10m10m. The height, at which the magnitude of velocity becomes equal to the magnitude of acceleration due to gravity, is _____ mm. [Use g=10ms−2g=10m{s}^{-2} ]JEE Main/Numerical/Medium/Motion Under Gravity
  169. 169A person is standing in an elevator. In which situation, he experiences weight loss ?JEE Main/MCQ/Medium/Motion Under Gravity
  170. 170An object of mass 5kg5kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of 10N10N throughout the motion. The ratio of time of ascent to the time of descent will be equal to : [Use g=10ms−2g=10{ms}^{-2}].JEE Main/MCQ/Medium/Motion Under Gravity
  171. 171From the top of a tower, a ball is thrown vertically upward which reaches the ground in 6s6s. A second ball thrown vertically downward from the same position with the same speed reaches the ground in 1.5s1.5s. A third ball released, from the rest from the same location, will reach the ground in _____ s.JEE Main/Numerical/Medium/Motion Under Gravity
  172. 172Water drops are falling from a nozzle of a shower onto the floor from a height of 9.8m9.8m. The drops fall at a regular interval of time. When the first drop strikes the floor, at that instant, the third drop begins to fall. Locate the position of second drop from the floor when the first drop strikes the floor.JEE Main/MCQ/Medium/Motion Under Gravity
  173. 173A ball is thrown up with a certain velocity so that it reaches a height h.h. Find the ratio of the two different times of the ball reaching h3\dfrac{h}{3} in both the directions.JEE Main/MCQ/Medium/Motion Under Gravity
  174. 174A balloon was moving upwards with a uniform velocity of 10ms−110m{s}^{-1}. An object of finite mass is dropped from the balloon when it was at a height of 75m75m from the ground level. The height of the balloon from the ground when object strikes the ground was around: (takes the value of gg as 10ms−210m{s}^{-2})JEE Main/MCQ/Medium/Motion Under Gravity
  175. 175Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at 4th{4}^{th} second after its fall to the next droplet is 34.3m34.3m. At what rate the droplets are coming from the tap ? (Take g=9.8ms−2g=9.8m{s}^{-2})JEE Main/MCQ/Medium/Motion Under Gravity
  176. 176A person standing on a spring balance inside a stationary lift measures 60kg60kg. The weight of that person if the lift descends with uniform downward acceleration of 1.8ms−21.8m{s}^{-2} will be NN. [g=10ms−2]\left[g=10m{s}^{-2}\right]JEE Main/Numerical/Medium/Motion Under Gravity
  177. 177A tennis ball is released from a height h\text{h} and after freely falling on a wooden floor it rebounds and reaches height h/2\text{h}/2. The velocity versus height of the ball during its motion may be represented graphically by: (graphs are drawn schematically and on not to scale)JEE Main/MCQ/Medium/Motion Under Gravity
  178. 178An elevator in a building can carry a maximum of 1010 persons, with the average mass of each person being 68kg68kg . The mass of the elevator itself is 920kg920kg and it moves with a constant speed of 3m/s3m/s . The frictional force opposing the motion is 6000N6000N . If the elevator is moving up with its full capacity, the power delivered by the motor to the elevator (g=10m/s2)\left(g=10m/{s}^{2}\right) must be at least:JEE Main/MCQ/Medium/Motion Under Gravity
  179. 179From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the particle, to hit the ground, is n times that taken by it to reach the highest point of its path.The relation between H, u and n is :JEE Main/MCQ/Medium/Motion Under Gravity
  180. 180A parachutist after bailing out falls 50 m50 \mathrm{~m} without friction. When parachute opens, it decelerates at 2 m/s22 \mathrm{~m} / \mathrm{s}^2. He reaches the ground with a speed of 3 m/s3 \mathrm{~m} / \mathrm{s}. At what height, did he bail out?JEE Main/MCQ/Medium/Motion Under Gravity
  181. 181A ball is released from the top of a tower of height hh metres. It takes TT seconds to reach the ground. What is the position of the ball in T/3\mathrm{T} / 3 seconds?JEE Main/MCQ/Medium/Motion Under Gravity
  182. 182A river of width 200 m is flowing from west to east with a speed of 18 km/h18 \mathrm{~km} / \mathrm{h}. A boat, moving with speed of 36 km/h36 \mathrm{~km} / \mathrm{h} in still water, is made to travel one-round trip (bank to bank of the river). Minimum time taken by the boat for this journey and also the displacement along the river bank are ____\_\_\_\_ and ____\_\_\_\_ respectively.JEE Main/MCQ/Medium/Relative motion
  183. 183A river is flowing from west to east direction with speed of 9 km h−19 \mathrm{~km} \mathrm{~h}^{-1}. If a boat capable of moving at a maximum speed of 27 km h−127 \mathrm{~km} \mathrm{~h}^{-1} in still water, crosses the river in half a minute, while moving with maximum speed at an angle of 150∘150^{\circ} to direction of river flow, then the width of the river is :JEE Main/MCQ/Medium/Relative motion
  184. 184The position vector of a moving body at any instant of time is given as r⃗=(5t2i^−5tj^)m\vec{r}=\left(5 t^2 \hat{i}-5 t \hat{j}\right) \mathrm{m}. The magnitude and direction of velocity at t=2 st=2 \mathrm{~s} is,JEE Main/MCQ/Medium/Relative motion
  185. 185The speed of a swimmer is 4kmh−14km{h}^{-1} in still water. If the swimmer makes his strokes normal to the flow of river of width 1km1km, he reaches a point 750m750m down the stream on the opposite bank. The speed of the river water is ______ kmh−1km{h}^{-1}.JEE Main/Numerical/Medium/Relative motion
  186. 186At time t=0t=0 a particle starts travelling from a height 7z^cm7\hat{z}cm in a plane keeping zz coordinate constant. At any instant of time, it's position along the xx and yy directions are defined as 3t3t and 5t35{t}^{3} respectively. At t=1st=1s acceleration of the particle will beJEE Main/MCQ/Medium/Relative motion
  187. 187A girl standing on road holds her umbrella at 45∘45^{\circ} with the vertical to keep the rain away. If she starts running without umbrella with a speed of 152kmh−115\sqrt{2}km{h}^{-1}, the rain drops hit her head vertically. The speed of rain drops with respect to the moving girl isJEE Main/MCQ/Medium/Relative motion
  188. 188A swimmer wants to cross a river from point AA to point BB. Line AB makes an angle of 30∘30^{\circ} with the flow of the river. The magnitude of the velocity of the swimmer is the same as that of the river. The angle θ\theta with the line ABAB should be _______∘^{\circ}, so that the swimmer reaches point BB.
    JEE Main/Numerical/Medium/Relative motion/With diagram
  189. 189A boy reaches the airport and finds that the escalator is not working. He walks up the stationary escalator in time t1.{t}_{1}. If he remains stationary on a moving escalator then the escalator takes him up in time t2.{t}_{2}. The time taken by him to walk up on the moving escalator will be:JEE Main/MCQ/Medium/Relative motion
  190. 190A butterfly is flying with a velocity 42ms−14\sqrt{2}m{s}^{-1} in north-east direction. Wind is slowly blowing at 1ms−11m{s}^{-1} from north to south. The resultant displacement of the butterfly in 33 seconds is:JEE Main/MCQ/Medium/Relative motion
  191. 191A person is swimming with a speed of 10ms−110m{s}^{-1} at an angle of 120∘120^{\circ} with the flow and reaches to a point directly opposite on the other side of the river. The speed of the flow is xms−1.xm{s}^{-1}. The value of xx to the nearest integer is ______.JEE Main/Numerical/Medium/Relative motion
  192. 192A swimmer can swim with velocity of 12km/h12km/h in still water. Water flowing in a river has velocity 6km/h6km/h. The direction with respect to the direction of flow of river water he should swim in order to reach the point on the other bank just opposite to his starting point is ________∘^{\circ}.
    (Round off to the Nearest Integer) (find the angle in degree)    JEE Main/Numerical/Medium/Relative motion
  193. 193The stream of a river is flowing with a speed of 2kmh−12km{h}^{-1}. A swimmer can swim at a speed of 4kmh−14km{h}^{-1}. The direction of the swimmer with respect to the flow of the river, to cross the river straight, isJEE Main/MCQ/Medium/Relative motion
  194. 194Two particles A,BA,B are moving on two concentric circles of radii R1{R}_{1} and R2{R}_{2} with equal angular speed ω.\omega . At t=0,t=0, their positions and direction of motion are shown in the figure:


    The relative velocity     VA⃗−VB⃗\vec{{V}_{A}}-\vec{{V}_{B}} at t=π2ωt=\dfrac{\pi }{2\omega } is given by:    JEE Main/MCQ/Medium/Relative motion/With diagram
  195. 195A passenger train of length 60m60m travels at a speed of 80km/hr80km/hr. Another freight train of length 120m120m travels at a speed of 30km/hr30km/hr. The ratio of times taken by the passenger train to completely cross the freight train when: (i) they are moving in the same direction, and (ii) in the opposite directions is:JEE Main/MCQ/Medium/Relative motion
  196. 196In a car race on straight road, car AA takes a time tt less than car BB at the finish and passes finishing point with a speed vv more than that of car B.B. Both the cars start from rest and travel with constant acceleration a1{a}_{1} and a2{a}_{2} respectively. Then vv is equal to:JEE Main/MCQ/Medium/Relative motion
  197. 197A man in a car at location Q on a straight highway is moving with speed v\mathrm{v}. He decides to reach a point PP in a field at a distance dd from highway (point MM ) as shown in the figure.Speed of the car in the field is half to that on the highway. What should be the distance RM, so that the time taken to reach PP is minimum?
    JEE Main/MCQ/Medium/Relative motion/With diagram
  198. 198Two identical bodies, projected with the same speed at two different angles cover the same horizontal range RR. If the time of flight of these bodies are 55 s and 1010 s, respectively, then the value of RR is ________ m. (Take g=10g=10 m/s2^2)JEE Main/MCQ/Medium/Projectile motion
  199. 199A gun mounted on the ground fires bullets in all directions with same speed. The farthest distance the bullets could reach is 6.46.4 m. The speed of the bullets from the gun is ______ m/s.
    (take     g=10g=10 m/s2^2)    JEE Main/Numerical/Medium/Projectile motion
  200. 200If xx and yy coordinates of a projectile as a function of time (t)(t) are given as 24t24t and 43.6t−4.9t243.6t-4.9t^2, respectively, then the angle (in degrees) made by the projectile with horizontal when t=2t=2 s is ______.JEE Main/MCQ/Medium/Projectile motion
  201. 201Two projectiles are projected with the same initial velocities at the 15∘15^\circ and 30∘30^\circ with respect to the horizontal. The ratio of their ranges is 1:x1:x. The value of xx is:JEE Main/MCQ/Medium/Projectile motion
  202. 202A boy throws a ball into air at 45∘45^{\circ} from the horizontal to land it on a roof of a building of height HH. If the ball attains maximum height in 2 s and lands on the building in 3 s after launch, then value of HH is ____\_\_\_\_ m.
    (g=10 m/s2)\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)    JEE Main/MCQ/Medium/Projectile motion
  203. 203An object is projected with kinetic energy KK from a point AA at an angle 60∘60^{\circ} with the horizontal. The ratio of the difference in kinetic energies at points BB and CC to that at point AA (see figure), in the absence of air friction is :
    JEE Main/MCQ/Medium/Projectile motion/With diagram
  204. 204A projectile is thrown upward at an angle 60∘60^{\circ} with the horizontal. The speed of the projectile is 20 m/s20 \mathrm{~m} / \mathrm{s} when its direction of motion is 45∘45^{\circ} with the horizontal. The initial speed of the projectile is ____\_\_\_\_ m/s\mathrm{m} / \mathrm{s}.JEE Main/MCQ/Medium/Projectile motion
  205. 205Two balls with same mass and initial velocity, are projected at different angles in such a way that maximum height reached by first ball is 8 times higher than that of the second ball. T1T_1 and T2T_2 are the total flying times of first and second ball, respectively, then the ratio of T1T_1 and T2T_2 is :JEE Main/MCQ/Medium/Projectile motion
  206. 206Two projectiles are fired from ground with same initial speeds from same point at angles (45∘+α)\left(45^{\circ}+\alpha\right) and (45∘−α)\left(45^{\circ}-\alpha\right) with horizontal direction. The ratio of their times of flights isJEE Main/MCQ/Medium/Projectile motion
  207. 207A particle is projected with velocity uu so that its horizontal range is three times the maximum height attained by it. The horizontal range of the projectile is given as nu225g\frac{n u^2}{25 g}, where value of nn is : (Given ' gg ' is the acceleration due to gravity).JEE Main/MCQ/Medium/Projectile motion
  208. 208The angle of projection of a particle is measured from the vertical axis as ϕ\phi and the maximum height reached by the particle is hmh_m. Here hmh_m as function of ϕ\phi can be presented asJEE Main/MCQ/Medium/Projectile motion
  209. 209Two projectiles are fired with same initial speed from same point on ground at angles of \(\left(45^{\circ}-\alpha\right)\) and \(\left(45^{\circ}+\alpha\right)\), respectively, with the horizontal direction. The ratio of their maximum heights attained is :JEE Main/MCQ/Medium/Projectile motion
  210. 210A ball of mass 100 g is projected with velocity 20 m/s20 \mathrm{~m} / \mathrm{s} at 60∘60^{\circ} with horizontal. The decrease in kinetic energy of the ball during the motion from point of projection to highest point isJEE Main/MCQ/Medium/Projectile motion
  211. 211A particle is projected at an angle of 30∘30^{\circ} from horizontal at a speed of 60 m/s60 \mathrm{~m} / \mathrm{s}. The height traversed by the particle in the first second is h0\mathrm{h}_0 and height traversed in the last second, before it reaches the maximum height, is h1h_1. The ratio h0:h1h_0: h_1 is _________
    [Take,     g=10 m/s2\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2 ]    JEE Main/Numerical/Medium/Projectile motion
  212. 212A body of mass MM thrown horizontally with velocity vv from the top of the tower of height HH touches the ground at a distance of 100 m100 \mathrm{~m} from the foot of the tower. A body of mass 2M2 \mathrm{M} thrown at a velocity v2\frac{v}{2} from the top of the tower of height 4H4 \mathrm{H} will touch the ground at a distance of _____m\mathrm{m}.JEE Main/Numerical/Medium/Projectile motion
  213. 213The angle of projection for a projectile to have same horizontal range and maximum height is :JEE Main/MCQ/Medium/Projectile motion
  214. 214The maximum height reached by a projectile is 64 m64 \mathrm{~m}. If the initial velocity is halved, the new maximum height of the projectile is _____ m\mathrm{m}.JEE Main/Numerical/Medium/Projectile motion
  215. 215The co-ordinates of a particle moving in x−yx-y plane are given by : x=2+4t,y=3t+8t2x=2+4 \mathrm{t}, y=3 \mathrm{t}+8 \mathrm{t}^2.
    The motion of the particle is :    JEE Main/MCQ/Medium/Projectile motion
  216. 216A particle moving in a circle of radius RR with uniform speed takes time TT to complete one revolution. If this particle is projected with the same speed at an angle θ\theta to the horizontal, the maximum height attained by it is equal to 4R4R. The angle of projection θ\theta is then given by :JEE Main/MCQ/Medium/Projectile motion
  217. 217A body starts falling freely from height HH hits an inclined plane in its path at height hh. As a result of this perfectly elastic impact, the direction of the velocity of the body becomes horizontal. The value of Hh\dfrac{H}{h} for which the body will take the maximum time to reach the ground is _____.JEE Main/Numerical/Medium/Projectile motion
  218. 218Projectiles AA and BB are thrown at angles of 45∘45^{\circ} and 60∘60^{\circ} with vertical respectively from top of a 400m400m high tower. If their times of flight are same, the ratio of their speeds of projection vA:vB{v}_{A}:{v}_{B} is:JEE Main/MCQ/Medium/Projectile motion
  219. 219A particle of mass mm projected with a velocity uu making an angle of 30∘30^{\circ} with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height hh is :JEE Main/MCQ/Medium/Projectile motion
  220. 220A ball rolls off the top of a stairway with horizontal velocity uu. The steps are 0.1m0.1m high and 0.1m0.1m wide. The minimum velocity uu with which that ball just hits the step 55 of the stairway will be xms−1\sqrt{x}m{s}^{-1}, where x=x=_______ [use g=10ms−2g=10m{s}^{-2}].JEE Main/Numerical/Medium/Projectile motion
  221. 221A projectile is projected at 30∘30^{\circ} from horizontal with initial velocity 40ms−140m{s}^{-1}. The velocity of the projectile at t=2st=2s from the start will be:JEE Main/MCQ/Medium/Projectile motion
  222. 222A projectile fired at 30∘30^{\circ} to the ground is observed to be at same height at time 3s3s and 5s5s after projection, during its flight. The speed of projection of the projectile is ms−1m{s}^{-1}.
    (Given     g=10ms−2g=10m{s}^{-2})    JEE Main/Numerical/Medium/Projectile motion
  223. 223Two projectiles are projected at 30∘30^{\circ} and 60∘60^{\circ}with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is:JEE Main/MCQ/Medium/Projectile motion
  224. 224The range of the projectile projected at an angle of 15∘{15}^{^{\circ}} with horizontal is 50m50m. If the projectile is projected with same velocity at an angle of 45∘{45}^{^{\circ}} with horizontal, then its range will beJEE Main/MCQ/Medium/Projectile motion
  225. 225The trajectory of projectile, projected from the ground is given by y=x−x220y=x-\dfrac{{x}^{2}}{20}. Where xx and yy are measured in meter. The maximum height attained by the projectile will be.JEE Main/MCQ/Medium/Projectile motion
  226. 226Two projectiles AA and BB are thrown with initial velocities of 40ms−140m{s}^{-1} and 60ms−160m{s}^{-1} at angles 30∘30^{\circ} and 60∘60^{\circ} with the horizontal respectively. The ratio of their ranges respectively is (g=10ms−2)(g=10m{s}^{-2})JEE Main/MCQ/Medium/Projectile motion
  227. 227Given below are two statements: one is labelled as Assertion AA and the other is labelled as Reason R.R.
    Assertion A: When a body is projected at an angle     45∘,45^{\circ}, its range is maximum.
    Reason R: For maximum range, the value of sin     2θ2\theta should be equal to one.
    In the light of the above statements, choose the correct answer from the options given below:    JEE Main/MCQ/Medium/Projectile motion
  228. 228A child stands on the edge of the cliff 10m10m above the ground and throws a stone horizontally with an initial speed of 5ms–15m{s}^{–1} . Neglecting the air resistance, the speed with which the stone hits the ground will be _____ ms–1m{s}^{–1} (given, g=10ms–2g=10m{s}^{–2} ).JEE Main/MCQ/Medium/Projectile motion
  229. 229Two bodies are projected from ground with same speeds 40ms−140m{s}^{-1} at two different angles with respect to horizontal. The bodies were found to have same range. If one of the body was projected at an angle of 60∘60^{\circ}, with horizontal then sum of the maximum heights, attained by the two projectiles, is _____ mm. (Given g=10ms−2g=10m{s}^{-2})JEE Main/Numerical/Medium/Projectile motion
  230. 230The initial speed of a projectile fired from ground is uu. At the highest point during its motion, the speed of projectile is 32u\dfrac{\sqrt{3}}{2}u. The time of flight of the projectile is:JEE Main/MCQ/Medium/Projectile motion
  231. 231A particle of mass 100g100g is projected at time t=0t=0 with a speed 20ms–120m{s}^{–1} at an angle 45∘45^{\circ} to the horizontal as given in the figure. The magnitude of the angular momentum of the particle about the starting point at time t=2st=2s is found to be Kkgm2s−1\sqrt{K}kg{m}^{2}{s}^{-1}. The value of KK is ______.
    (Take     g=10ms−2g=10m{s}^{-2})
    JEE Main/Numerical/Medium/Projectile motion/With diagram
  232. 232A stone is projected at angle 30∘30^{\circ} to the horizontal. The ratio of kinetic energy of the stone at point of projection to its kinetic energy at the highest point of flight will be :JEE Main/MCQ/Medium/Projectile motion
  233. 233Two objects are projected with same velocity uu however at different angles α\alpha and β\beta with the horizontal. If α+β=90∘\alpha +\beta =90^{\circ}, the ratio of horizontal range of the first object to the 2nd{2}^{nd} object will be :JEE Main/MCQ/Medium/Projectile motion
  234. 234The maximum vertical height to which a man can throw a ball is 136m136m. The maximum horizontal distance upto which he can throw the same ball isJEE Main/MCQ/Medium/Projectile motion
  235. 235An object is projected in the air with initial velocity uu at an angle θ\theta. The projectile motion is such that the horizontal range RR, is maximum. Another object is projected in the air with a horizontal range half of the range of first object. The initial velocity remains same in both the case. The value of the angle of projection, at which the second object is projected, will be _____ degree.JEE Main/Numerical/Medium/Projectile motion
  236. 236A ball is projected with kinetic energy EE, at an angle of 60∘60^{\circ} to the horizontal. The kinetic energy of this ball at the highest point of its flight will become :JEE Main/MCQ/Medium/Projectile motion
  237. 237A body of mass 10kg10kg is projected at an angle of 45∘45^{\circ} with the horizontal. The trajectory of the body is observed to pass through a point (20,10)\left(20,10\right). If TT is the time of flight, then its momentum vector, at time t=T2t=\dfrac{T}{\sqrt{2}}, is _____ .
    [Take     g=10ms−2g=10m{s}^{-2}]    JEE Main/MCQ/Medium/Projectile motion
  238. 238A ball of mass mm is thrown vertically upward. Another ball of mass 2m2m is thrown an angle θ\theta with the vertical. Both the balls stay in air for the same period of time. The ratio of the heights attained by the two balls respectively is 1x\dfrac{1}{x}. The value of xx is _____ .JEE Main/Numerical/Medium/Projectile motion
  239. 239Two projectiles are thrown with same initial velocity making an angle of 45∘45^{\circ} and 30∘30^{\circ} with the horizontal respectively. The ratio of their respective ranges will beJEE Main/MCQ/Medium/Projectile motion
  240. 240If the initial velocity in horizontal direction of a projectile is unit vector i^\hat{i} and the equation of trajectory is y=5x(1−x)y=5x\left(1-x\right). The yy component vector of the initial velocity is _____ j^\hat{j}
    (Take     g=10ms−2g=10m{s}^{-2})    JEE Main/Numerical/Medium/Projectile motion
  241. 241Two projectile thrown at 30∘30^{\circ} and 45∘45^{\circ} with the horizontal respectively, reach the maximum height in same time. The ratio of their initial velocities isJEE Main/MCQ/Medium/Projectile motion
  242. 242A ball is projected from the ground with a speed 15ms−115{ms}^{-1} at an angle θ\theta with horizontal so that its range and maximum height are equal, then tan⁡θ\tan \theta will be equal toJEE Main/MCQ/Medium/Projectile motion
  243. 243A person can throw a ball upto a maximum range of 100m100m. How high above the ground he can throw the same ball?JEE Main/MCQ/Medium/Projectile motion
  244. 244A projectile is launched at an angle α\alpha with the horizontal with a velocity 20ms−120{ms}^{-1}. After 10s10s, its inclination with horizontal is β\beta. The value of tan⁡β\tan \beta will be : (g=10ms−2)\left(g=10{ms}^{-2}\right).JEE Main/MCQ/Medium/Projectile motion
  245. 245A fighter jet is flying horizontally at a certain altitude with a speed of 200ms−1200{ms}^{-1}. When it passes directly overhead an anti-aircraft gun, a bullet is fired from the gun, at an angle θ\theta with the horizontal, to hit the jet. If the bullet speed is 400ms−1400m{s}^{-1}, the value of θ\theta will be _____ ∘^{\circ}.JEE Main/Numerical/Medium/Projectile motion
  246. 246Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.
    Assertion A: Two identical balls     AA and BB thrown with same velocity 'uu' at two different angles with horizontal attained the same range RR. If A and BB reached the maximum height h1{h}_{1} and h2{h}_{2} respectively, then R=4h1h2R=4\sqrt{{h}_{1}{h}_{2}}
    Reason R: Product of said heights.     h1h2=(u2sin⁡2θ2g)⋅(u2cos⁡2θ2g){h}_{1}{h}_{2}=\left(\dfrac{{u}^{2}{\sin }^{2}\theta }{2g}\right)\cdot \left(\dfrac{{u}^{2}{\cos }^{2}\theta }{2g}\right)    JEE Main/MCQ/Medium/Projectile motion
  247. 247A body is projected from the ground at an angle of 45∘45^{\circ} with the horizontal. Its velocity after 2s2s is 20ms−120{ms}^{-1}. The maximum height reached by the body during its motion is _____ mm. (use g=10ms−2g=10{ms}^{-2})JEE Main/Numerical/Medium/Projectile motion
  248. 248A projectile is projected with velocity of 25ms−125m{s}^{-1} at an angle θ\theta with the horizontal. After tt seconds its inclination with horizontal becomes zero. If RR represents horizontal range of the projectile, the value of θ\theta will be : [use useg=10ms−2useg=10m{s}^{-2}]JEE Main/MCQ/Medium/Projectile motion
  249. 249The ranges and heights for two projectiles projected with the same initial velocity at angles 42∘42^{\circ} and 48∘48^{\circ} with the horizontal are R1,R2{R}_{1},{R}_{2} and H1,H2{H}_{1},{H}_{2} respectively. Choose the correct option:JEE Main/MCQ/Medium/Projectile motion
  250. 250A helicopter is flying horizontally with a speed vv at an altitude hh has to drop a food packet for a man on the ground. What is the distance of helicopter from the man when the food packet is dropped ?JEE Main/MCQ/Medium/Projectile motion
  251. 251A player kicks a football with an initial speed of 25ms−125{ms}^{-1} at an angle of 45∘45^{\circ} from the ground. What are the maximum height and the time taken by the football to reach at the highest point during motion? (Take g=10ms−2g=10{ms}^{-2})JEE Main/MCQ/Medium/Projectile motion
  252. 252A bomb is dropped by a fighter plane flying horizontally. To an observer sitting in the plane, the trajectory of the bomb is a :JEE Main/MCQ/Medium/Projectile motion
  253. 253The water is filled up to a height of 12m12m in a tank having vertical sidewalls. A hole is made in one of the walls at a depth hh below the water level. The value of hh for which the emerging stream of water strikes the ground at the maximum range is _____ mm.JEE Main/Numerical/Medium/Projectile motion
  254. 254A small block slides down from the top of hemisphere of radius R=3mR=3m as shown in the figure. The height hh at which the block will lose contact with the surface of the sphere is mm. (Assume there is no friction between the block and the hemisphere)
    JEE Main/Numerical/Medium/Projectile motion/With diagram
  255. 255In a spring gun having spring constant 100Nm−1100N{m}^{-1} a small ball BB of mass 100g100g is put in its barrel (as shown in figure) by compressing the spring through 0.05m0.05m. There should be a box placed at a distance dd on the ground so that the ball falls in it. If the ball leaves the gun horizontally at a height of 2m2m above the ground. The value of dd is mm.
    (g=10ms−2)\left(g=10m{s}^{-2}\right)
    JEE Main/Numerical/Medium/Projectile motion/With diagram
  256. 256The projectile motion of a particle of mass 5g5g is shown in the figure.

    The initial velocity of the particle is     52ms−15\sqrt{2}{ms}^{-1} and the air resistance is assumed to be negligible. The magnitude of the change in momentum between the points AA and BB is x×10−2kgms−1x\times {10}^{-2}{kgms}^{-1}. The value of xx, to the nearest integer, is ___ .    JEE Main/Numerical/Medium/Projectile motion/With diagram
  257. 257The trajectory of a projectile in a vertical plane is y=αx−βx2,y=\alpha x-\beta {x}^{2}, where α\alpha and β\beta are constants and x&y are respectively the horizontal and vertical distances of the projectile from the point of projection. The angle of projection θ\theta and the maximum height attained HH are respectively given byJEE Main/MCQ/Medium/Projectile motion
  258. 258A particle is projected with velocity v0{v}_{0} along xx-axis. A damping force is acting on the particle which is proportional to the square of the distance from the origin i.e. ma=−αx2.ma=-\alpha {x}^{2}. The distance at which the particle stops:JEE Main/MCQ/Medium/Projectile motion
  259. 259A particle starts from the origin at t=0t=0 with an initial velocity of 3.0i^m/s3.0\hat{i}m/s and moves in the x−yx-y plane with a constant acceleration (6.0i^+4.0j^)m/s2.\left(6.0\hat{i}+4.0\hat{j}\right)m/{s}^{2}. The x−x- coordinate of the particle at the instant when its y−y- coordinate is 32m32m is DD meters. The value of DD is:JEE Main/MCQ/Medium/Projectile motion
  260. 260Two particles are projected from the same point with the same speed u such that they have the same range R, but different maximum heights, h1{h}_{1} and h2.{h}_{2}. Which of the following is correct?JEE Main/MCQ/Medium/Projectile motion
  261. 261A shell is fired from a fixed artillery gun with an initial speed u such that it hits the target on the ground at a distance RR from it. If t1{t}_{1} and t2{t}_{2} are the values of the time taken by it to hit the target in two possible ways, the product t1t2{t}_{1}{t}_{2} is:JEE Main/MCQ/Medium/Projectile motion
  262. 262The trajectory of a projectile near the surface of the earth is given as y=2x−9x2.y=2x-9{x}^{2}. If it were launched at an angle θ0{\theta }_{0} with speed v0{v}_{0} then (g=10ms−2):\left(g=10{ms}^{-2}\right):JEE Main/MCQ/Medium/Projectile motion
  263. 263A plane is inclined at an angle α=30∘\alpha =30^{\circ} with respect to the horizontal. A particle is projected with a speed u=2ms−1u=2m{s}^{-1} , from the base of the plane, making an angle θ=15∘\theta =15^{\circ} with respect to the plane as shown in the figure. The distance from the base, at which the particle hits the plane is close to:
    (Take     g=10ms−2g=10m{s}^{-2} )
    JEE Main/MCQ/Medium/Projectile motion/With diagram
  264. 264A body is projected at t=0t=0 with a velocity 10 ms−110 \mathrm{~ms}^{-1} at an angle of 60∘60^{\circ} with the horizontal. The radius of curvature of its trajectory at t=1t=1 s is RR. Neglecting air resistance and taking acceleration due to gravity g=10 ms−2\mathrm{g}=10 \mathrm{~ms}^{-2}, the value of RR is:JEE Main/MCQ/Medium/Projectile motion
  265. 265Two guns AA and BB can fire bullets at speeds 1km/s1km/s and 2km/s2km/s respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground is:JEE Main/MCQ/Medium/Projectile motion
  266. 266The initial speed of a bullet fired from a rifle is 630 m/s630 \mathrm{~m} / \mathrm{s}. The rifle is fired at the centre of a target 700 m700 \mathrm{~m} away at the same level as the target. How far above the centre of the target ?JEE Main/MCQ/Medium/Projectile motion
  267. 267The position of a projectile launched from the origin at t = 0 is given by r⃗=(40i⁡^+50j⁡^)m\vec{\text{r}}=\left(40\hat{i⁡}+50\hat{j⁡}\right)\text{m} at t = 2s. If the projectile was launched at an angle θ\theta from the horizontal, then θ\theta is (take g = 10 ms-2).JEE Main/MCQ/Medium/Projectile motion
  268. 268The maximum range of a bullet fired from a toy pistol mounted on a car at rest is R0=40 mR_0=40 \mathrm{~m}. What will be the acute angle of inclination of the pistol for maximum range when the car is moving in the
    direction of firing with uniform velocity     v=20 m/s\mathrm{v}=20 \mathrm{~m} / \mathrm{s} on a horizontal surface? (g=10 m/s2)\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2\right)    JEE Main/MCQ/Medium/Projectile motion
  269. 269A ball projected from ground at an angle of 45∘45^{\circ} just clears a wall in front. If point of projection is 4 m4 \mathrm{~m} from the foot of wall and ball strikes the ground at a distance of 6 m6 \mathrm{~m} on the other side of the wall, the height of the wall is :JEE Main/MCQ/Medium/Projectile motion
  270. 270A projectile is given an initial velocity of (i^+2j^)ms−1\left(\hat{i}+2\hat{j}\right)m{s}^{-1}, where i^\hat{\text{i}} is along the ground and j^\hat{\text{j}} is along the vertical upward. If g=10ms−2g=10m{s}^{-2}, the equation of its trajectory is :JEE Main/MCQ/Medium/Projectile motion
  271. 271A boy can throw a stone up to a maximum height of 10 m10 \mathrm{~m}. The maximum horizontal distance that the boy can throw the same stone up to will beJEE Main/MCQ/Medium/Projectile motion
  272. 272A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is v\mathrm{v}, the total area around the fountain that gets wet is :JEE Main/MCQ/Medium/Projectile motion
  273. 273A small particle of mass mm is projected at an angle θ\theta with the x\mathrm{x}-axis with an initial velocity v0\mathrm{v}_0 in the x−y\mathrm{x}-\mathrm{y} plane as shown in the figure. At a time t<v0sin⁡θgt \lt \frac{v_0 \sin \theta}{g}, the angular momentum of the particle is
    where     i^,j^\hat{\mathrm{i}}, \hat{\mathrm{j}} and k^\hat{\mathrm{k}} are unit vectors along x,y\mathrm{x}, \mathrm{y} and z\mathrm{z}-axis respectively.    JEE Main/MCQ/Medium/Projectile motion/With diagram
  274. 274A particle is moving with velocity v→=K(yi^+xj^)\overrightarrow{\mathrm{v}}=\mathrm{K}(\mathrm{y} \hat{\mathrm{i}}+\mathrm{x} \hat{\mathrm{j}}), where K\mathrm{K} is a constant. The general equation for its path isJEE Main/MCQ/Medium/Projectile motion
  275. 275A particle just clears a wall of height bb at distance aa and strikes the ground at a distance cc from the point of projection. The angle of projection isJEE Main/MCQ/Medium/Projectile motion
  276. 276A particle is projected at 60∘60^{\circ} to the horizontal with a kinetic energy K\mathrm{K}. The kinetic energy at the highest point isJEE Main/MCQ/Medium/Projectile motion
  277. 277A particle is projected from a point O\mathrm{O} with velocity uu at an angle of 60∘60^{\circ} with the horizontal. When it is moving in a direction at right angles to its direction at OO, its velocity then is given byJEE Main/MCQ/Medium/Projectile motion
  278. 278A projectile can have the same range R\mathrm{R} for two angles of projection. If t1\mathrm{t}_1 and t2\mathrm{t}_2 be the times of flights in the two cases, then the product of the two time of flights is proportional toJEE Main/MCQ/Medium/Projectile motion
  279. 279If t1t_1 and t2t_2 are the times of flight of two particles having the same initial velocity uu and range R\mathrm{R} on the horizontal, then t12+t22\mathrm{t}_1^2+\mathrm{t}_2^2 is equal toJEE Main/MCQ/Medium/Projectile motion
  280. 280A projectile can have the same range RR for two angles of projection. If T1T_1 and T2T_2 be the time of flights in the two cases, then the product of the two time of flights is directly proportional toJEE Main/MCQ/Medium/Projectile motion
  281. 281Two stones are projected from the top of a cliff h\mathrm{h} metres high, with the same speed u\mathrm{u}, so as to hit the ground at the same spot. If one of the stones is projected at an angle θ\theta to the horizontal then the θ\theta equalsJEE Main/MCQ/Medium/Projectile motion
  282. 282A boy playing on the roof of a 10 m10 \mathrm{~m} high building throws a ball with a speed of 10 m/s10 \mathrm{~m} / \mathrm{s} at an angle of 30∘30^{\circ} with the horizontal. How far from the throwing point will the ball be at the height of 10 m10 \mathrm{~m} from the ground?
    [g=10 m/s2,sin⁡30∘=12,cos⁡30∘=32]\left[\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2, \sin 30^{\circ}=\frac{1}{2}, \cos 30^{\circ}=\frac{\sqrt{3}}{2}\right]    JEE Main/MCQ/Medium/Projectile motion
  283. 283A car moving with a speed of 5454 km/h takes a turn of radius 2020 m. A simple pendulum is suspended from the ceiling of the car. Determine the angle made by the string of the pendulum with the vertical during the turning. (Take g=10g=10 m/s2^2)JEE Main/MCQ/Medium/Uniform Circular Motion
  284. 284A man carrying a monkey on his shoulder does cycling smoothly on a circular track of radius 9 m9 \mathrm{~m} and completes 120 resolutions in 3 minutes. The magnitude of centripetal acceleration of monkey is (\left(\right. in m/s2\mathrm{m} / \mathrm{s}^2 ) :JEE Main/MCQ/Medium/Uniform Circular Motion
  285. 285If the radius of curvature of the path of two particles of same mass are in the ratio 3:43:4, then in order to have constant centripetal force, their velocities will be in the ratio of:JEE Main/MCQ/Medium/Uniform Circular Motion
  286. 286A vehicle of mass 200kg200kg is moving along a levelled curved road of radius 70m70m with angular velocity of 0.2rads−10.2rad{s}^{-1}. The centripetal force acting on the vehicle is:JEE Main/MCQ/Medium/Uniform Circular Motion
  287. 287A disc is rolling without slipping on a surface. The radius of the disc is R.R. At t=0,t=0, the top most point on the disc is AA as shown in figure. When the disc completes half of its rotation, the displacement of point AA from its initial position is
    JEE Main/MCQ/Medium/Uniform Circular Motion/With diagram
  288. 288A child of mass 5kg5kg is going round a merry-go-round that makes 11 rotation in 3.14s3.14s. The radius of the merry-go-round is 2m2m. The centrifugal force on the child will beJEE Main/MCQ/Medium/Uniform Circular Motion
  289. 289A particle is moving with constant speed in a circular path. When the particle turns by an angle 90∘,90^{\circ}, the ratio of instantaneous velocity to its average velocity is π:x2.\pi :x\sqrt{2}. The value of xx will beJEE Main/MCQ/Medium/Uniform Circular Motion
  290. 290A stone of mass 1kg1kg is tied to end of a massless string of length 1m1m. If the breaking tension of the string is 400N400N, then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is:JEE Main/MCQ/Medium/Uniform Circular Motion
  291. 291A stone tied to 180cm180cm long string at its end is making 2828 revolutions in horizontal circle in every minute. The magnitude of acceleration of stone is 1936xms−2\dfrac{1936}{x}m{s}^{-2}. The value of xx ______.
    [Take     π=227\pi =\dfrac{22}{7}]    JEE Main/Numerical/Medium/Uniform Circular Motion
  292. 292A car is moving on a circular path of radius 600m600m such that the magnitudes of the tangential acceleration and centripetal acceleration are equal. The time taken by the car to complete first quarter of revolution, if it is moving with an initial speed of 54kmh−154km{h}^{-1} is t(1–e–π2)st(1–{e}^{–\dfrac{\pi }{2}})s. The value of tt is ______.JEE Main/Numerical/Medium/Uniform Circular Motion
  293. 293An object moves at a constant speed along a circular path in a horizontal plane with centre at the origin. When the object is at x=+2mx=+2m, its velocity is −4j^ms−1-4\hat{j}m{s}^{-1} . The object’s velocity (v)(v) and acceleration (a)(a) at x=–2mx=–2m will beJEE Main/MCQ/Medium/Uniform Circular Motion
  294. 294A car is moving with a constant speed of 20ms−120m{s}^{-1} in a circular horizontal track of radius 40m40m. A bob is suspended from the roof of the car by a massless string. The angle made by the string with the vertical will be : (Take g=10ms−2g=10m{s}^{-2})JEE Main/MCQ/Medium/Uniform Circular Motion
  295. 295A ball is spun with angular acceleration α=6t2−2t\alpha =6{t}^{2}-2t where tt is in second and α\alpha is in rads−2rad{s}^{-2}. At t=0t=0, the ball has angular velocity of 10rads−110rad{s}^{-1} and angular position of 4rad4rad. The most appropriate expression for the angular position of the ball isJEE Main/MCQ/Medium/Uniform Circular Motion
  296. 296A boy ties a stone of mass 100g100g to the end of a 2m2m long string and whirls it around in a horizontal plane. The string can withstand the maximum tension of 80N80N. If the maximum speed with which the stone can revolve is Kπrevmin⁡−1\dfrac{K}{\pi }rev{\min }^{-1}. The value of KK is :
    (Assume the string is massless and un-stretchable)    JEE Main/MCQ/Medium/Uniform Circular Motion
  297. 297A particle of mass mm is suspended from a ceiling through a string of length LL. The particle moves in a horizontal circle of radius rr such that r=L2r=\dfrac{L}{\sqrt{2}}. The speed of particle will be :JEE Main/MCQ/Medium/Uniform Circular Motion
  298. 298If the angular velocity of earth's spin is increased such that the bodies at the equator start floating, the duration of the day would be approximately :
    (Take :     g=10ms−2g=10{ms}^{-2}, the radius of earth, R=6400×103mR=6400\times {10}^{3}m, Take π=3.14\pi =3.14)    JEE Main/MCQ/Medium/Uniform Circular Motion
  299. 299A modern grand-prix racing car of mass mm is travelling on a flat track in a circular arc of radius RR with a speed v.v. If the coefficient of static friction between the tyres and the track is μs,{\mu }_{s}, then the magnitude of negative lift FL{F}_{L} acting downwards on the car is:
    JEE Main/MCQ/Medium/Uniform Circular Motion/With diagram
  300. 300A block of 200g200g mass moves with a uniform speed in a horizontal circular groove, with vertical side walls of radius 20cm20cm. If the block takes 40s40s to complete one round, the normal force by the side walls of the groove is:JEE Main/MCQ/Medium/Uniform Circular Motion
  301. 301A small bob tied at one end of a thin string of length 1m1m is describing a vertical circle so that the maximum and minimum tension in the string is in the ratio 5:15:1. The velocity of the bob at the highest position is ______ ms−1m{s}^{-1}. (Take g=10ms−2g=10m{s}^{-2})JEE Main/Numerical/Medium/Uniform Circular Motion
  302. 302A clock has a continuously moving second's hand of 0.1m0.1m length. The average acceleration of the tip of the hand (in units of ms−2{ms}^{-2} ]) is of the order of :JEE Main/MCQ/Medium/Uniform Circular Motion
  303. 303A uniform cylinder of mass MM and radius RR is to be pulled over a step of height a (a<R)\left(a\lt R\right) by applying a force FF at its centre ′O′'O' perpendicular to the plane through the axes of the cylinder on the edge of the step (see figure). The minimum value of FF required is :
    JEE Main/MCQ/Medium/Uniform Circular Motion/With diagram
  304. 304A bead of mass mm stays at point P(a,b)P\left(a,b\right) on a wire bent in the shape of a parabola y=4Cx2y=4C{x}^{2} and rotating with angular speed ω\omega (see figure). The value of ω\omega is (neglect friction)
    JEE Main/MCQ/Medium/Uniform Circular Motion/With diagram
  305. 305A spring mass system (mass m,m, spring constant kk and natural length ll ) rests in equilibrium on a horizontal disc. The free end of the spring is fixed at the centre of the disc. If the disc together with spring mass system rotates about it's axis with an angular velocity ω,(k>>mω2)\omega ,\left(k\gt \gt m{\omega }^{2}\right) the relative change in the length of the spring is best given by the option:JEE Main/MCQ/Medium/Uniform Circular Motion
  306. 306A particle moves such that its position vector r⃗(t)=cos⁡⁡ωti^+sin⁡⁡ωtj^\vec{r}\left(t\right)=\cos ⁡\omega t\hat{i}+\sin ⁡\omega t\hat{j} where ω\omega is a constant and tt is time. Then which of the following statements is true for the velocity v⃗(t)\vec{v}\left(t\right) and acceleration a⃗(t)\vec{a}\left(t\right) of the particle:JEE Main/MCQ/Medium/Uniform Circular Motion
  307. 307A particle of mass mm is moving along a trajectory given by
    x=x0+acosω1tx={x}_{0}+acos{\omega }_{1}t
    y=y0+bsinω2ty={y}_{0}+bsin{\omega }_{2}t
    The torque, acting on the particle about the origin, at     t=0t=0 is:    JEE Main/MCQ/Medium/Uniform Circular Motion
  308. 308A particle is moving along a circular path with a constant speed of 10 ms−110 \mathrm{~ms}^{-1}. What is the magnitude of the change in velocity of the particle, when it moves through an angle of 60∘60^{\circ} around the centre of the circle?JEE Main/MCQ/Medium/Uniform Circular Motion

NEET question paper PDF

This chapter includes NEET questions. Open a year to read the full paper, or download the PDF.

NEET 2025 question paper (Code 45)

Open Download PDF

Opening paper…

JEE Main question paper PDF

This chapter includes JEE Main questions. Open a shift to read the paper, or download the PDF.

JEE Main 2025 Apr 2 Shift 1 question paper

Open Download PDF

Opening paper…

Other Physics chapters

Current Electricity 380Electrostatics 311Ray Optics 295Rotational Motion 280Magnetic Effects & Magnetism 276Atoms & Nuclei 239Gravitation 223Laws of Motion 210Semiconductors 209Dual Nature of Matter 200Oscillations 194Fluid Mechanics 192Wave Optics 191Alternating Current 190Thermodynamics 190Work Energy Power 183Capacitors 180Kinetic Theory 168Electromagnetic Waves 165Electromagnetic Induction 153Units & Dimensions 149Waves 142Center of Mass, Momentum & Collision 130Thermal Properties of Matter 126Mathematics in Physics 121Mechanical Properties of Solids 118Experimental Physics 70Magnetic Properties of Matter 57Modern Physics 5

Stuck on a Kinematics question from your book?

Snap it and get a whiteboard video that solves it step by step. Your first video needs no login.

Scan a doubtView plans