SOLUTION: a rubber ball is dropped from a height of 25 m and each time it stikes the ground it rebounds to a height of 60% of the distance from which it fell. find the total distance travele

Question 1089773: a rubber ball is dropped from a height of 25 m and each time it stikes the ground it rebounds to a height of 60% of the distance from which it fell. find the total distance traveled by the ball before it comes to rest.
Answer by Edwin McCravy(20063) (Show Source): You can put this solution on YOUR website!


Let the first term be the ball's first 25-meter drop PLUS 
its 25(0.60) = 15-meter first upward bounce immediately 
following. That's 25+15 = 40 meters for the first term. 
Each term thereafter will consist of the ball's drop plus 
its upward bounce immediately following.  So the first 
term is 40 meters and the common ratio is 0.6.  The
formula for the sum of an infinite geometric series is:









Edwin

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