A ball, dropped onto a hard floor from a height of 2 meters,
bounces to a height of 1.8 meters, 90% of the initial height. Each
subsequent bounce is 90% the height of the previous one. Find the
total distance the ball travels up and down (i.e. after the first
collision with the ground it has traveled 2 meters down and 1.8
meters up, giving a total distance of 3.8 meters).