SOLUTION: In physics, one learns that the time required for a ball to fall from a height of h feet (or rise to that height after a bounce) is 1/4sqrt(h) seconds. A superball rebounds 25 % of
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Question 1118796: In physics, one learns that the time required for a ball to fall from a height of h feet (or rise to that height after a bounce) is 1/4sqrt(h) seconds. A superball rebounds 25 % of the height from which it is dropped. Suppose that a superball is dropped from a height of 76 feet.
How much time passes before the ball strikes the ground for the 5th time?
What is the total distance that the ball has traveled, both up and down, when it strikes the ground for the 5th time?
How high does the ball rebound after the 9th bounce?
After which bounce is the first time the ball rebounds less than 3 feet?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
After the first bounce, the ball rises to a height of 
feet. After the second bounce, the ball rises to a height of 
feet. Since one-fourth of 4.75 feet is clearly smaller than 3 feet, the answer to the last question is the third bounce.
Note that the height of the ball after the 
th bounce is 
. Let 
and calculate the answer to the second question.
John
My calculator said it, I believe it, that settles it
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