SOLUTION: A ball returns two-thirds of its preceding height on each bounce. It the ball is dropped from a height of 6 m, what is the total distance travelled by the ball before coming to re

Question 1086782: A ball returns two-thirds of its preceding height on each bounce. It the ball is dropped from a height of 6 m, what is the total distance travelled by the ball before coming to rest?
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
On the initial drop it falls 6m
It bounces up to 4m (=(2/3)*6)
It then falls 4m to the ground
It bounces up to (2/3)(4) =
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Adding all this up, with D=distance travelled:

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when |a| < 1
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Ans:
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