A pitched $200$ g baseball, in the horizontal flight with a speed of $120$ km$/$h$,$ is struck by

a bat. After leaving the bat, the ball travels in the opposite direction at an upward angle of

$60\mathrm{.}00$ with $80\%$ of the original speed.

$($a$)$ What impulse $($magnitude and direction$)$ acts on the ball while it is in contact with the

bat during the collision?

$($b$)$ The impact time for the baseball$-$bat collision is $1\mathrm{.}50$ ms$.$ What is the magnitude of

the average net force acting on the baseball