The graph shows the variation of velocity of a rocket with time. The maximum height attained by the rocket is ........... $km$ :-

The velocity $v$ of a body moving along a straight line varies with time $t$ as $v = 2 t^2 e^{-t}$,where $v$ is in $m/s$ and $t$ is in $s$. The acceleration of the body is zero at $t =$

The displacement-time graph for two particles $A$ and $B$ is as follows. The ratio $\frac{v_A}{v_B}$ is

The figure shows a velocity-time graph of a particle moving along a straight line. The correct displacement-time graph of the particle is shown as:

$A$ particle starts from the origin at time $t = 0$ and moves along the positive $x-$ axis. The velocity-time graph is shown in the figure. What is the position of the particle at time $t = 5\,s$ (in $,m$)?

The position-time graph for a body moving along a straight line between $O$ and $A$ is shown in the figure. During its motion between $O$ and $A$,how many times does the body come to rest?