SOLUTION: A ball dropped from a height of 12 m and rebounds one half the distance on each bounce. What is the total distance it travels?
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Question 1152042: A ball dropped from a height of 12 m and rebounds one half the distance on each bounce. What is the total distance it travels?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Ball drops in the first step.
It rebounds and drops back covering in the second step.
It rebounds and drops back covering in the third step.
This continues indefinitely.
Mathematically :
+...
= + ( +...)
Now ( +...) is an infinite GP with and
=>
=>
=>
=>
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