Question

Suppose you drop a tennis ball from a height of 18 feet. after the ball hits the floor, it rebounds to 85% of its previous height. how high will the ball rebound after its third bounce? round to the nearest whole foot.

Answer 1

Calculate the height of the ball after each bounce to determine the height at which the ball will rebound. Hence, the ball will rebound to a height of approximately 11 feet after its third bounce.

Step-by-step explanation:

To find the height the ball rebounds after its third bounce, we can use the information given in the question. The ball rebounds to 85% of its previous height after each bounce. Let's calculate the rebound height after each bounce:

1. First bounce: 18 feet x 0.85 = 15.3 feet
2. Second bounce: 15.3 feet x 0.85 = 13.005 feet
3. Third bounce: 13.005 feet x 0.85 = 11.05425 feet

Therefore, the ball will rebound to a height of approximately 11 feet after its third bounce.