Vertical motion of a bouncing ball

This article discusses a scenario/arrangement whose statics/dynamics/kinematics can be understood using the ideas of classical mechanics.
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This article discusses the vertical motion of a bouncing ball. The ball is either left from rest or given an initial vertical speed $u$ (upward or downward) at some initial vertical height $h$ and then left to itself. While the ball is in the air, the only force on the ball is the gravitational force, so it experiences a downward acceleration due to gravity. Each time the ball hits the floor, it bounces back with a coefficient of restitution $C_{R}$.

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