When the speed of a moving body is doubled

When we jump out of a boat standing in water it moves

The magnitude of force acting on a particle moving along $x$-axis varies with time $(t)$ as shown in figure. If at $t=0$ the velocity of particle is $v_0$, then its velocity at $t=T_0$ will be

In an hour-glass approximately $100$ grains of sand fall per second (starting from rest); and it takes $2 \, s$ for each sand particle to reach the bottom of the hour-glass. If the average mass of each sand particle is $0.2 \,g$, then the average force exerted by the falling sand on the bottom of the hour-glass is close to .......... $N$

Position-time graph for a particle of mass $100g$ is as shown in figure then impulse  acting on the particle at $t = 5$ second is ............ $N-s$

A spherical body of mass $100 \mathrm{~g}$ is dropped from a height of $10 \mathrm{~m}$ from the ground. After hitting the ground, the body rebounds to a height of $5 \mathrm{~m}$. The impulse of force imparted by the ground to the body is given by : (given $\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^2$ )