# 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 $$g=-9.8~m/s^2$$.

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