Answer:
1.
Height after one bounce: ⇒ 12 feet
Height after two bounces: ⇒ 7.2 feet
Height after three bounces: ⇒ 4.32 feet
2.
an=a1*r^n-1
3.
⇒ 0.56 feet
Step-by-step explanation:
For edge2020
The height of the ball after the first bounce is 12 feet.
The height of the ball after the second bounce is 7.2 feet.
The height of the ball after the third bounce is 4.32 feet.
Given that,
A ball is dropped from a height of 20 feet.
After the first, bounce its peak height is 12 feet.
With each bounce, its peak height is 60% of the previous peak.
We have to determine,
The height of the ball after one, two, and three bounces.
According to the question,
A ball is dropped from a height of 20 feet.
After the first, bounce its peak height is 12 feet.
With each bounce, its peak height is 60% of the previous peak.
The height of the ball after the first bounce is,
[tex]=20 \times \dfrac{60}{100}\\\\= 20 \times 0.6\\\\= 12\ feet[/tex]
The height of the ball after the first bounce is 12 feet.
The height of the ball after the second bounce is,
[tex]=12\times \dfrac{60}{100}\\\\= 12 \times 0.6\\\\= 7.2\ feet[/tex]
The height of the ball after the second bounce is 7.2 feet.
The height of the ball after the third bounce is,
[tex]=7.2 \times \dfrac{60}{100}\\\\= 7.2 \times 0.6\\\\= 4.32\ feet[/tex]
The height of the ball after the third bounce is 4.32 feet.
To know more about Substitution click the link given below.
https://brainly.com/question/17718371
