SOLUTION: When a golf ball is struck it leaves the club face at a speed of approximately 225 miles per hour. For every 5 feet that it travels, the ball's speed decreases 10%. At what distanc

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Question 1012358: When a golf ball is struck it leaves the club face at a speed of approximately 225 miles per hour. For every 5 feet that it travels, the ball's speed decreases 10%. At what distance will the ball be traveling approximately 112.5 miles per hour?
Answer by Alan3354(69443) About Me  (Show Source):
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When a golf ball is struck it leaves the club face at a speed of approximately 225 miles per hour. For every 5 feet that it travels, the ball's speed decreases 10%. At what distance will the ball be traveling approximately 112.5 miles per hour?
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n = # of 5 foot segments
After each 5 feet, speed = 0.9*prior speed
112.5 = 225*0.9^n
0.9^n = 0.5
n*log(0.9) = log(0.5)
n = log(0.5)/log(0.9) =~ 6.5788
d = 5n =~32.89 feet