Figures $(a), (b), (c)$ and $(d)$ show variation of force with time.

The impulse is highest in figure.

A block of mass $5 kg$ moves along the $x$-direction subject to the force $F=(-20 x+10) N$, with the value of $x$ in metre. At time $t=0 s$, it is at rest at position $x=1 m$. The position and momentum of the block at $t=(\pi / 4) s$ are

A particle of mass $2\, kg$ is initially at rest. A force acts on it whose magnitude changes  with time. The force time graph is shown below. The velocity of the particle after $10\, s$ is ......... $ms^{-1}$

A particle of mass $m$ moving with velocity $u$ makes an elastic one dimensional collision with a stationary particle of mass $m$. They are in contact for a very short time $T$. Their force of interaction increases from zero to $F_0$ linearly in time $T/2$, and decreases linearly to zero in further time $T/2$. The magnitude of $F_0$ is

A stone is dropped from a height $h.$ It hits the ground with a certain momentum $P.$ If the same stone is dropped from a height $100\%$ more than the previous height, the momentum when it hits the ground will change by  ........... $\%$

Consider the following statement: When jumping from some height, you should bend your knees as you come to rest, instead of keeping your legs stiff. Which of the following relations can be useful in explaining the statement