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A ball is dropped straight down from a height of 16 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?

azsun  Jan 5, 2018
 #1
avatar+161 
+1

it will bounce 8 times at least before it stops

penquino21  Jan 5, 2018
 #2
avatar+91071 
+1

We can find this

 

16  +   16 [ 1 - .5^(N - 1) ]  / [  1  - .5]     

 

Where N is the total distance traveled on the Nth bounce 

 

When N  = 6, we have

 

47 ft

 

 

cool cool cool

CPhill  Jan 5, 2018

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