Chapter 1.5, Problem 5IP

To determine

How high does it bounce on the fifth bounce.

Answer to Problem 5IP

  $15.6\text{ feet}$

Explanation of Solution

Given :

A ball bounce back 0.6 of its height on every bounce. If a ball is dropped from 200 feet.

Concept Used:

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

In order to find how high does it bounce on the fifth bounce, first multiply the original height, that is 200 feet by 0.6 5 times because a ball bounce 0.6 of its height on every bounce so, for fifth bounce multiplying 5 times as shown below:

  $\begin{array}{l}200\times 0.6\times 0.6\times 0.6\times 0.6\times 0.6\\ =15.552\\ \approx 15.6\end{array}$

So, the ball will bounce to a height of 15.6 feet on the fifth bounce.