Kinematics

JEE Main level, single correct, medium

104 of 308

Question 104 of 308

A 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)

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Answer: (A) (A),(B),(D)\left(A\right),\left(B\right),(D)

A. Acceleration == constant; av→tav\rightarrow t graph will be constant line parallel to time axis. Option (A)\left(A\right) is correct.
B. v=u+atv=u+at ; velocity vs time graph will be straight line passing through origin. Option (B)\left(B\right) is correct.
u=0;u=0; initially at rest
v=v= at
C. X=12at2X=\dfrac{1}{2}a{t}^{2} (particle was initially at origin) v→tv\rightarrow t graph will be parabola passing through origin. Option (D)\left(D\right) is correct.

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