A really, really good bouncy ball

Drop a ball from height H=10 mH=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%e=0.0001=0.01 \%.

Details and assumptions

Neglect the size of the ball.

The gravitational acceleration is g=9.8 m/s2g=-9.8~m/s^2.

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