SOLUTION: A ball dropped from a height of 100 m and after each fall, it rebounds 1/3 of the distance from which it fell. Find the total distance travelled by the ball before coming to re

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Question 1188229: A ball dropped from a height of 100 m and after each fall, it rebounds 1/3 of the
distance from which it fell. Find the total distance travelled by the ball before
coming to rest.
I honestly cannot figure out how to write the working equation for it. Please help, thank you!

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

let the total distance travelled by the ball before coming to rest be
[the factor is for equal distance being covered up and down after each bounce of the ball]
}*(sum of an infinite GP series whose 1st term is 1 and common ratio is )




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