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10 June, 05:49

While skiing, Ellen encounters a ledge that sends her flying horizontally at a rate of 12 m/s. How far away will she land if the ledge is 7 meters high? ... ?

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  1. 10 June, 07:10
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    In this problem, we must first calculate that Ellen will be on air. Using the equation of a free-falling body,

    y = - g/2*t^2 + y0

    When she hits the ground, y = 0. With y0 = 7 and g = 9.80,

    0 = - 4.90*t^2 + 7

    t = 1.20 s

    Thus, her horizontal displacement is then

    x = vt

    x = (12) (1.20)

    x = 14.3 m
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