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.

   $10\cdot 0.555$

   Answer (a):

   $5.55$ ft

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

   Hint (b):

   Since the rebound ratio remains the same ($0.555$), you can find the height after the second bounce by multiplying the new initial height by the same ratio.

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

   Hint (c):

   Continue the same process referenced in part (a) and (b).