Look back at the data given in problem 5-18 that describes the rebound ratio for an official tennis ball. Suppose you drop such a tennis ball from an initial height of $10$ feet.

1. How high would it rebound after the first 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

2. How high would it rebound after the second bounce?

   Step (b):

   Multiply the initial height by the rebound ratio twice:

   $(10)(0.555)(0.555)=(10)(0.555)^2=3.08025$ feet

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

• Hint (c):

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