A really, really good bouncy ball

Classical Mechanics Level 5

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 \(g=-9.8~m/s^2\).

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