A pitching machine throws the $0\mathrm{.}5-kg$ ball toward the wall with an initial

velocity $v_A=12\frac{m}{s}$ as shown. Suppose that the coefficient of

restitution $e=0\mathrm{.}5,a=4m,h=1\mathrm{.}5m.($Figure $1)$

A$)$ Determine the magnitude of the velocity at which it strikes the wall at B$.$

B$)$ Determine the angle between the x axis and the velocity at which the ball strikes the wall, measured counterclockwise from the positive x axis.

C$)$ Determine the magnitude of the velocity at which it rebounds from the wall.

D$)$ Determine the angle between the x axis and the velocity at which the ball rebounds from the wall, measuredclockwise from the negative x axis.

E$)$ Determine the distance S from the wall to where it strikes the ground C