A particle moves along the x-axis | Kinematics JEE Main 2025

JEE MAIN_2025

030425_S2

Question

A particle moves along the $x$-axis and has its displacement $x$ varying with time t according to the equation: $$ x=\mathrm{c}_0\left(\mathrm{t}^2-2\right)+\mathrm{c}(\mathrm{t}-2)^2 $$ where $\mathrm{c}_0$ and c are constants of appropriate dimensions. Then, which of the following statements is correct?

Select the correct option:

the acceleration of the particle is $2\left(c+c_0\right)$

the initial velocity of the particle is 4 c

the acceleration of the particle is $2 \mathrm{c}_0$

the acceleration of the particle is 2 c

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution