JEE Main 2020PhysicsMotion In One DimensionMediumNumerical

JEE Main 2020 — Motion In One Dimension Question with Solution

JEE Main 2020 (09 Jan Shift 1)

Question

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

Enter your answer

Show full solutionCorrect answer: 3
Correct answer
3

Step-by-step explanation

x2=at2+2bt+c
2xv=2at+2b
xv=at+b
v2+ax=a
ax=a-at+bx2
a=aat2+2bt+c-at+b2x3
a=ac-2x3
a α x-3

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Motion In One Dimension chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2020, covering the Motion In One Dimension chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.