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:

The distance covered by the particle in the last $2\,s$ is what fraction of the total distance covered by it in $7\,s$?

The displacement-time graph of two moving particles makes angles of $30^{\circ}$ and $45^{\circ}$ with the time axis ($X$-axis). The ratio of their velocities is

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 $t =$

$A$ train starting from rest accelerates uniformly for $100\,s,$ then comes to a stop with a uniform retardation in the next $200\,s.$ During the motion,it covers a distance of $3\,km.$ Choose the wrong option.

The position-time graph for a particle is shown in the figure. Starting from $t=0$,at what time $t$ (in seconds) is the average velocity zero?