A really, really good bouncy ball
Drop a ball from height \(H=10~m\) above the ground. Estimate the height of the bounce of the ball after 1 hour in meters, given that every time the ball hits the ground, its velocity decreases by \(e=0.0001=0.01 \%\).
Details and assumptions
Neglect the size of the ball.
The gravitational acceleration is \(g=-9.8~m/s^2\).