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