### Home > AC > Chapter 14 > Lesson 14.2.1.3 > Problem2-37

2-37.

Look back at the data given in problem 2-20 that describes the rebound ratio for an approved tennis ball. Suppose you drop a tennis ball from an initial height of $10$ feet.

1. How high would it rebound after the first bounce?

Find the rebound ratio by dividing the rebound by the initial height.

$\frac{111}{200}=0.555$

Multiply the new initial height by the ratio.

$10 · 0.555$

$5.55$ ft.

2. How high would it rebound after the 12th bounce?

Multiply the initial height by $0.555$, twelve times.

$10 · \left(0.555\right)^{12}$

3. How high would it rebound after the nth bounce?

Remember that the initial height is $10$ feet and the ratio is $0.555$.