A ball of mass $50 \,g$ is dropped from a height of $20 \,m$. A boy on the ground hits the ball vertically upwards with a bat with an average force of $200 \,N$, so that it attains a vertical height of $45 \,m$. The time for which the ball remains in contact with the bat is ……….. of a second [Take $g=10 \,m / s ^2$ ]

$A$ boy hits $a$ baseball with $a$ bat and imparts an impulse $J$ to the ball. The boy hits the ball again with the same force, except that the ball and the bat are in contact for twice the amount of time as in the first hit. The new impulse equals:

A force-time graph for a linear motion is shown in figure where the segments are circular. The linear momentum gained between zero and $8$ second is

Write and explain Newton’s third law of motion. Write important points of Newton’s third law of motion.

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 $\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^2$ )