A particle starts moving from time and its coordinate is g…

Physics Motion in a Straight Line JEE Main 2026 - ( Motion in One Dimensional ) MCQ (Single Correct)

A particle starts moving from time and its coordinate is given as

The particle returns to its original position (origin) 0.866 units later
A, B, C Only

The particle is 1 unit away from origin at its turning point
C, E Only

Acceleration of the particle is non-negative
A, C Only

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 :
A, C, D Only

Text Solution

Verified by Experts

The correct answer is:

Given , we find and .

Statement A: Setting gives , so or . The particle returns to origin at units. TRUE.
Statement B: Turning points occur at . At :
; distance unit. At ; distance unit. TRUE.
Statement C: For (particle starts at ), . TRUE.
Statement D: At turning points, distance is 1 unit, not 0.5 . FALSE.
Statement E: False because acceleration is non-negative only for , and particle does turn back at .
FALSE.
Correct statements: A, B, C Only.