SOLUTION: a rubber ball is shot vertically to a height of 20ft and allowed to drop. each bounce is 80% as high as the previous bounce. what is the total distance the ball travels

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Question 1185115: a rubber ball is shot vertically to a height of 20ft and allowed to drop. each bounce is 80% as high as the previous bounce. what is the total distance the ball travels
Answer by Edwin McCravy(20081) About Me  (Show Source):
You can put this solution on YOUR website!
It goes up 20 feet and then comes back down 20 feet. That's 40 feet for the
first term. Then it goes up 16 feet and comes back down 16 feet. So that's 32
feet for the second term.  We have an infinite geometric series with
a1 = 40 and r = 80% = 0.8

40+32+25.6+...

S%5Binfinity%5D%22%22=%22%22a%5B1%5D%2F%281-r%5B%22%22%5D%29%22%22=%22%2240%2F%281-0.80%29%22%22=%22%22200 feet.

Edwin