$A$ batsman hits back a ball straight in the direction of the bowler without changing its initial speed of $12 \; m/s$. If the mass of the ball is $0.15 \; kg$,determine the impulse (in $N \cdot s$) imparted to the ball. (Assume linear motion of the ball)

"Momentum is the product of velocity and its magnitude." Is this statement true or false?

$A$ bullet of mass $10\,g$ leaves the barrel of a gun with a velocity of $600\,m/s$. If the barrel of the gun is $50\,cm$ long and the mass of the gun is $3\,kg$,then the value of the impulse supplied to the gun will be $.....\,Ns$.

$A$ $100 \, g$ iron ball having a velocity of $10 \, m/s$ collides with a wall at an angle of $30^\circ$ with the wall surface and rebounds with the same angle. If the period of contact between the ball and the wall is $0.1 \, s$,then the force experienced by the ball is ............. $N$.

The $F-t$ graph for an object is shown in the figure. What will be the magnitude of the change in momentum $(\Delta p)$ in the interval of $0.03\, s$ from the start?

$A$ ball of mass $400\, g$ is dropped from a height of $5\, m$. $A$ boy standing on the ground hits the ball vertically upwards with a bat with an average force of $100\, N$ so that it reaches a height of $20\, m$. For how long does the ball remain in contact with the bat (in $, s$)? $[g = 10\, m/s^2]$