Question

A ball is dropped from a height of 5 ft and bounces to 60% of its previous height on each subsequent bounce. Which statement is true regarding the vertical distance the ball has traveled when it hits the ground for the fourth time?

A) 10.88 ft vertical distance traveled total
B) 16.76 ft vertical distance traveled total
C) 18.06 ft vertical distance traveled total
D) 21.76 ft vertical distance traveled total

Answer 1

Answer:

the answer is 16.76 ft option B

Step-by-step explanation:

Answer 2

The vertical distance the ball has traveled when it hits the ground for the fourth time is 16.76m.

What is the percentage?

The Percentage is the value per hundred.

Distance traveled by the ball when it hits the ground first time =5m

After the first hit, it bounces to 60% of its previous height

60% of 5m =3m

This means ball goes 3m up and then 3m down before hitting for the second time.

So, the vertical distance traveled by the ball till the second hit=5+3+3 =11m

After the second hit, it bounces to 60% of its previous height

60% of 3m =1.8m

This means ball goes 1.8m up and then 1.8m down before hitting for the third time.

So, the vertical distance traveled by the ball till the third hit=11+1.8+1.8 = 14.6m

After the third hit, it bounces to 60% of its previous height

60% of 1.8m =1.08m

This means ball goes 1.08m up and then 1.08m down.

So, the vertical distance traveled by the ball till the fourth hit=14.6+1.08+1.08 = 16.76m

Hence, the vertical distance the ball has traveled when it hits the ground for the fourth time is 16.76m.

To get more about the percentage visit:

https://brainly.com/question/24304697