SOLUTION: A rubber ball is dropped from a height of nine meters rebounds one-third of the distance of the previous falls. How far does it travel before coming to rest?
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Question 1099692: A rubber ball is dropped from a height of nine meters rebounds one-third of the distance of the previous falls. How far does it travel before coming to rest? Answer by Edwin McCravy(20060) (Show Source):
The ball goes down and then up. So think of it an an infinite
series of "down-ups". The first "down-up" consists of the first
"down" of 9 meters plus the following "up" which is one-third of
9 meters or 3 meters, which is 9+3 = 12 meters for the first "down-up".
Then each "down-up" after that is one-third of the previous "down-up".
So we use:
Where a1 = 12 and
The ball travels 18 meters.
Edwin
