A spherical ball $($B$)$ is moving with a velocity of $10\frac{m}{s}$ when it is $10$ m away from a rigid wall $($A$).$ The dynamic frictional coefficient, ${}_k=0\mathrm{.}3.$ Co$-$efficient restitution, $e=0\mathrm{.}6.$ Determine the following: $1)$ the velocity with which the ball will hit the wall, $2)$ the velocity with which the ball will bounce back after hitting the wall, $3)$ at what distance from the wall the ball will stop, and $4)$ how long will it take for the ball to stop after hitting the wall. Note: For the wall, all velocities are zero.

$(20)$