SOLUTION: A ball is droppped 256 feet from the roof of a building . suppose that with each bounce the ball goes up exactly half its previous height . a man is sitting at his desk on the sec

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Question 316548: A ball is droppped 256 feet from the roof of a building . suppose that with each bounce the ball goes up exactly half its previous height . a man is sitting at his desk on the second floor . how many times will he see the ball if his eye level is 15 feet above ground ?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
h%28N%29=256%2A%281%2F2%29%5EN
Find N so that
h%28N%29%3C15
256%2A%280.5%29%5EN%3C15
%280.5%29%5EN%3C%2815%2F256%29
N%3Elog%280.5%2C%2815%2F256%29%29
N%3Elog%28%2815%2F256%29%29%2Flog%28%280.5%29%29
N%3E4.093
On the 5th bounce, it will be below 15 feet.