In the figure given below, the position-time graph of a particle of mass $0.1 \,Kg$ is shown. The impulse at $t = 2\sec $ is .......... $kg\,m\,{\sec ^{ - 1}}$

A ball is moving with speed $20 \,m / s$ collides with a smooth surface as shown in figure. The magnitude of change in velocity of the ball will be ........... $m/s$

An object of mass $'m'$ is being moved with a constant velocity under the action of an applied force of $2\, {N}$ along a frictionless surface with following surface profile.

The correct applied force vs distance graph will be:

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).

The distance covered by a body of mass $5\,g$ having linear momentum $0.3\,kg\,m / s$ in $5\,s$ is $..........\,m$

A batsman deflects a ball by an angle of $45^o$ without changing its initial speed which is equal to $54\; km/h$. What is the impulse imparted to the ball in $kg\;m/s$? (Mass of the ball is $0.15 \;kg.)$