In an experiment a ball of mass is released from a height above a flat, horizontal plate. Assuming the gravitational acceleration is constant and the ball falls through a vacuum, find the speed of the ball on impact.
Determine the speed at which the ball rebounds if the coefficient of restitution for the collision is . What fraction of the impact energy is dissipated during the collision? Determine also the maximum height the ball reaches after the bounce, and the time between the and bounce. What is the total distance travelled by the ball before it comes to rest if ?
If the experiment is repeated in an atmosphere then the ball experiences a drag force , where is a dimensional constant and the instantaneous velocity of the ball. Write down and solve the modified equation for before the ball first hits the plate.