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. Eachsubsequent bounce is 90% the height of the previous one. Find thetotal distance the ball travels up and down (i.e. after the firstcollision with the ground it has traveled 2 meters down and 1.8meters up, giving a total distance of 3.8 meters).