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Bouncing Ball


A special rubber ball is dropped from the top of a wall that is   sixteen feet high. Each time the ball hits the ground it bounces back   only half as high as the distance it fell. The ball is caught when it   bounces back to a high point of 1/32 of a foot. How many times does   the ball hit the ground? Explain your reasoning.

(Source: Adapted from Mathematics Teaching in the Middle School, Nov- Dec 1994).



 Extensions

A golf ball dropped onto a hard surface rebounds exactly 1/x of the   height from which it falls. How far will it rebound after hitting the   surface for the third time if it is initially dropped from a height   of 18 feet?

(Source: Adapted from Mathematics Teaching in the Middle School, Mar- Apr 1996).



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