Asked by Brian
A ball rebounds the ground to a height of 72 cm, and each time it rebounds to two thirds of the height. Estimate the total distance the ball travels before it comes to rest
Answers
Answered by
Reiny
counting the first bounce at up and down ...
we have
144 + 144(2/3) + 144(2/3)^2 + ...
which is an infinite geometric series where
a = 144 , r = 2/3
sum(all terms) = a/(1-r)
= 144/(1-2/3)
= 144/(1/3)
= 432 cm
we have
144 + 144(2/3) + 144(2/3)^2 + ...
which is an infinite geometric series where
a = 144 , r = 2/3
sum(all terms) = a/(1-r)
= 144/(1-2/3)
= 144/(1/3)
= 432 cm
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