Aball is dropped from a height of 19 feet and bounces. suppose that each bounce is 7/8 of the height of the bounce before. thus, after the ball hits the floor for the first time, it rises to a height of h1=19(78)=16.625 feet. after the ball hits the floor a second time, it rises to a height of h2=16.625(78)=19(78)2=14.546875 feet, etc.