Respuesta :
Answer:
18 feet
Step-by-step explanation:
After each bounce, the ball reaches only a percentage of the maximum height it reached before.
The first height is 36 feet, after the first bounce, it will be 36*r, where r is the ratio of the height the ball can still reach by the previous maximum height.
In the second bounce, the height is 36*r^2
In the third bounce, the height is 36*r^3
In the fourth bounce, the height is 36*r^4, and this value is 2.25 ft, so:
36*r^4 = 2.25
r^4 = 2.25/36
r^4 = ┬а0.0625
r = 0.5
So, after the first bounce, the height is:
36*r = 36*0.5 = 18 feet
The height should be 18 feet.
Given that,
- You drop a ball from a stair case that is 36 ft high.
- By the time you get down the stairs to measure the height of the bounce, the ball has bounced four times and has a height of 2.25 ft after its fourth bounce.
Based on the above information, the calculation is as follows:
The first height is 36 feet.
Now after the first bounce, it will be 36r
Here r is the ratio of the height
In the second bounce, the height is [tex]36\times r^2[/tex]
In the third bounce, the height is [tex]36\times r^3[/tex]
In the fourth bounce, the height is [tex]36\times r^4[/tex], and this value is 2.25 ft, so:
Now
[tex]36\times r^4 = 2.25\\\\r^4 = 2.25\div 36\\\\r^4 = 0.0625[/tex]
r = 0.5
Now ┬а
So, after the first bounce, the height is:
= 36r
= 36(0.5)
= 18 feet
Therefore we can conclude that The height should be 18 feet.
Learn more: brainly.com/question/17429689
