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14 March, 13:58

A ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.81h feet. Find the total distance traveled by the ball.

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  1. 14 March, 14:09
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    The first drop makes the ball travel 16 m.

    Then the maximum height decreases to 16 x 0.81

    And the distance traveled is twice the distance traveled.

    If we make a pattern, this forms a geometric progression in which the common ratio is 0.81 and the first term is 16.

    The sum of this series: a / (1 - r)

    = 16 (1 - 0.81)

    = 84 feet

    This is the upward height, and the ball returns every time so:

    Total distance = 84 x 2

    = 168 feet
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