A bullet from a gun is fired on a rectangular wooden block with velocity $u$.When bullet travels $24\,cm$ through the block along its length horizontally, velocity of bullet becomes $\frac{u}{3}$. Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is $........\,cm$

Starting from rest, acceleration of a particle is $a = 2(t - 1).$ The velocity of the particle at $t = 5\,s$ is.........$m/sec$

Two trains travelling on the same track are approaching each other with equal speeds of $40\, m/s$. The drivers of the trains begin to decelerate simultaneously when they are just $2.0\, km$ apart. Assuming the decelerations to be uniform and equal, the value of the deceleration to barely avoid collision should be.........$m/{s^2}$

The velocity time graph of a body is shown in Figure. It implies that at point $B$ :-

Acceleration-time graph is given. If initial velocity is $5\,\,m/s,$  then velocity after $2$ $seconds$ is.......$m/s$

The $v - t$ graph of a moving object is given in figure. The maximum acceleration is...........$\mathrm{cm/sec}^{2}$