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A ball is dropped straight down from a height of 20 feet. If it bounces back each time to a height one-half the height from which it last fell, how far will the ball have traveled when it hits the floor for the sixth time?

 Oct 7, 2020
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A ball is dropped straight down from a height of 20 feet. If it bounces back each time to a height one-half the height from which it last fell, how far will the ball have traveled when it hits the floor for the sixth time?   

 

Distance                                   up 10           up 5           up 2.5          up 1.25           up 0.625  

                          down 20     down 10       down 5       down 2.5      down 1.25      down 0.625  

 

Hit the floor            1st             2nd              3rd              4th                 5th                 6th   

 

Add up the

distances                20 + 20 + 10 + 5 + 2.5 + 1.25  =   58.75  unless I messed up somewhere.  

.

 Oct 7, 2020

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