Question

A ball is dropped from a height of 96 feet. On each rebound it rises to a height one-sixth the height from which it last fell. How

far does it rise on the fourth rebound?

Answer 1

`(4)/(54)` feet (0.07407407407 feet)

Explanation:

For this problem, we must just keep dividing by six.

At the drop, it is at 96 feet.

Divide that by six after the first bounce we have 16 feet.

Divided again we have 2
`(2)/(3)` feet for the second bounce, (or 2.666666)

The third bounce we have
`(4)/(9)` feet (0.4444444444)

and finally for the fourth bounce
`(4)/(54)` feet (0.07407407407)!