ANSWERS: 1
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It is easier to work with decimals than fractions. In this case it is an easy conversion 3/4 converts to 0.75 as a decimal. We first need to find the 3/4 (0.75) of 16, then we need to find 0.75 of the sum of that number and so on and so forth until we reach 6 3/4 (6.75) Thus .75 x 16 = 12 and .75 x 12 = 9 and .75 x 9 = 6.75 (or 6 3/4) It is not a simple process of just adding up that list of numbers, we have to consider how far the balls falls and how far it rises after each bounce. Therefore: You drop the ball and it falls 16 feet, bounces and travels 12 feet, then falls again through 12 feet, bounces and rises 9 feet, falls 9 feet and bounces and rises 6.75 feet and is caught. Therefore it is has traveled: 16 + 12 + 12 + 9 + 9 + 6.75 = 64.75 Or it has traveled vertically through 64 3/4 feet over the total of all bounces and the initial drop.
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