A particle moves along the x -axis and has its displacement x varying with time t according to the equation: x = c₀(t² - 2) + c(t - 2)² where c₀ and c are constants of appropriate dimensions. Then, which of the following statements is correct?

(C) the acceleration of the particle is 2(c + c₀)

(A) the acceleration of the particle is 2c₀

(B) the acceleration of the particle is 2c

(D) the initial velocity of the particle is 4c

Kinematics: JEE Main 2025 Physics question

JEE Main 2025 · 3 Apr, Evening shift · Q27

JEE Main 20253 Apr, Evening shiftPhysicsMediumKinematics177× since 2002

A particle moves along the

x

-axis and has its displacement

x

varying with time t according to the equation:

x = c_0(t^2 - 2) + c(t - 2)^2

where

c_0

and c are constants of appropriate dimensions. Then, which of the following statements is correct?