A ball is dropped from a height of 10 meters. Each time it bounces it reaches 50 percent of its previous height. What is the total distance it reaches after 5 times

Question

Audrina Noble

Mathematics

5 March, 21:21

A ball is dropped from a height of 10 meters. Each time it bounces it reaches 50 percent of its previous height. What is the total distance it reaches after 5 times

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Answers (2)

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Miles Ballard · Answer 1

Original height 10 meters

first bounce

10/2 = 5 meters

second bounce

5/2 = 2.5 meters

third bounce

2.5/2 = 1.25 meters

fourth bounce

1.25/2 = 0.625 meters

fifth bounce

0.625/2 = 0.3125 meters

Mercedes Cobb · Answer 2

A good equation for this is 10*.5^x

In this case, x=5

If we solve 10*.5^x we get 0.3125 as our answer.