Final answer:
The golf ball will bounce to a height of approximately 2.3328 feet on the 5th bounce after being dropped from 30 feet, by repeatedly applying a 60% rebound percentage.
Step-by-step explanation:
To calculate how high the golf ball will bounce on the 5th bounce, we need to apply the concept of percentage reduction repetitively. The ball has a rebound percentage of 60%, meaning that with each bounce, it reaches 60% of the height of the previous bounce. Initially, it is dropped from 30 feet.
Let's perform the calculation step-by-step:
- First bounce: 30 feet * 60/100 = 18 feet
- Second bounce: 18 feet * 60/100 = 10.8 feet
- Third bounce: 10.8 feet * 60/100 = 6.48 feet
- Fourth bounce: 6.48 feet * 60/100 = 3.888 feet
- Fifth bounce: 3.888 feet * 60/100 = 2.3328 feet
Therefore, on the 5th bounce, the golf ball will bounce up to a height of approximately 2.3328 feet.