The relation between velocity $v$ and displacement $x$ is $v = x^2$. Find the acceleration at $x = 3 \ m$.

In the following velocity-time graph,the distance travelled by the body in metres is ............. $m$.

$A$ particle covers a distance from $A$ to $B$ over a period of time; the distance versus time plot is shown below. Then which of the following is true for the motion of the particle?

Consider a car initially at rest,starts to move along a straight road first with acceleration $5 \ m \ s^{-2}$,then with uniform velocity and finally,decelerating at $5 \ m \ s^{-2}$,before coming to a stop. Total time taken from start to end is $t = 25 \ s$. If the average velocity during that time is $72 \ km \ hr^{-1}$,the car moved with uniform velocity for a time of: (in $s$)

The velocity-time graph for a particle moving along the $x$-axis is shown in the figure. The corresponding displacement-time graph is correctly shown by

The acceleration-time graph of a body is shown. The corresponding velocity-time graph of the same body is