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).

$STATEMENT-1$ A cloth covers a table. Some dishes are kept on it. The cloth can be pulled out without dislodging the dishes from the table. because

$STATEMENT- 2$ For every action there is an equal and opposite reaction.

A rigid ball of mass $m$ strikes a rigid wall at $60^o $ and gets reflected without loss of speed as shown in the figure. The value of impulse imparted by the wall on the ball will be

A women throws an object of mass $500\,g$ with a speed of $25\, ms^{-1}$.

$(a)$ What is the impulse imparted to the object ?

$(b)$ If the object hits a wall and rebounds with half the original speed, what is the change in momentum of the object ?