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Kinematics

JEE Main level, numerical answer, medium

132 of 308

Question 132 of 308

The distance $x$ covered by a paritcle in one dimensional motion varies with time $t$ as ${x}^{2}=a{t}^{2}+2bt+c$ . If the acceleration of the particle depends on $x$ as ${x}^{-n}$ , where $n$ is an integer, the value of $n$ is _________

Show answer and solution

Answer: 3

{x}^{2}=a{t}^{2}+2bt+c

2xv=2at+2b

xv=at+b

{v}^{2}+ax=a

ax=a-{\left(\dfrac{at+b}{x}\right)}^{2}

a=\dfrac{a\left(a{t}^{2}+2bt+c\right)-{\left(at+b\right)}^{2}}{{x}^{3}}

a=\dfrac{a{c}^{-2}}{{x}^{3}}

a\alpha {x}^{-3}

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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More Physics practice

JEE Main Physics practice question on Kinematics (Non-uniform Motion), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.

The distance xxx covered by a paritcle in one dimensional motion varies with time ttt as x2=at2+2bt+c{x}^{2}=a{t}^{2}+2bt+cx2=at2+2bt+c . If the acceleration of the particle depends on xxx as x−n{x}^{-n}x−n , where nnn is an integer, the value of nnn is _________

JEE Main question paper PDF

More Physics practice

The distance $x$ covered by a paritcle in one dimensional motion varies with time $t$ as ${x}^{2}=a{t}^{2}+2bt+c$ . If the acceleration of the particle depends on $x$ as ${x}^{-n}$ , where $n$ is an integer, the value of $n$ is _________