SOLUTION: A rubber ball is dropped from a height of 1458 feet, and at each bounce it rebounds one-third of the height from which it last fell. How far has the ball travelled by the time it s

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Question 1179218: A rubber ball is dropped from a height of 1458 feet, and at each bounce it rebounds one-third of the height from which it last fell. How far has the ball travelled by the time it strikes the ground for the 5th time?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
It fell 1458 feet and struck the ground the 1st time.     1458 feet
Then it rebounded 1458/3=486 feet.                         486 feet
Then it fell 486 feet and struck the ground the 2nd time.  486 feet
Then it rebounded 486/3=162 feet                           162 feet
Then it fell 162 feet and struck the ground the 3rd time.  162 feet
Then it rebounded 162/3=54 feet.                            54 feet
Then it fell 54 feet and struck the ground the 4th time.    54 feet
Then it rebounded 54/3=18 feet.                             18 feet
Then it fell 18 feet and struck the ground the 5th time.    18 feet
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                                total distance traveled = 2898 feet

Edwin