Question

A ball is dropped from a height of 10 feet and returns to a height that is one-half of the height from which it fell the Ball continues to bounce half the height of the previous bounce each time. How far how far will the ball have traveled when it hits the ground for the fourth time? It might be helpful to sketch the part of ball.

Answer 1

To solve this problem we can write a general equatio so:

`y=10(1-0.5)^x`

whre y is the high and x are the number of bounces so for 4 will be:

`\begin{gathered} y=10(0.5)^4 \\ y=0.62ft \end{gathered}`