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

Two billiard balls each of mass $0.05\; kg$ moving in opposite directions with speed $6\; m/s$ collide and rebound with the same speed. What is the impulse imparted to each ball due to the other?

An object starts from rest and is acted upon by a variable force $F$ as shown in figure. If $F_0$ is the initial value of the force, then the position of the object, where it again comes to rest will be

Figures $I, II, III$ and $IV$ depict variation of force with time. The impulse is highest in the case of situations depicted. Figure

A ball of mass $0.15\; kg$ hits the wall with its initial speed of $12 \;ms ^{-1}$ and bounces back without changing its initial speed. If the force applied by the wall on the ball during the contact is $100\; N$. calculate the time duration of the contact of ball with the wall $.........cm$

Figure shows the position-time graph of a particle of mass $4 \,kg$. What is the

$(a)$ force on the particle for $t\, <\, 0, t \,> \,4\; s, 0 \,<\, t \,< \,4\; s$?

$(b)$ impulse at $t=0$ and $t=4 \;s ?$ (Consider one-dimensional motion only).