CPM Homework Help : A2C Problem 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. Homework Help ✎
1. How high would it rebound after the first bounce?
2. How high would it rebound after the 12^th bounce?
3. How high would it rebound after the n^th bounce?

Step 1(a):

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

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

Step 2(a):

Multiply the new initial height by the ratio.

10 · 0.555

Answer (a):

5.55 ft.

Step 1(b):

Multiply the initial height by 0.555, twelve times.

10 · (0.555)¹²

Hint (c):

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