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13 February, 06:30

A Harvard University student dropped one of his books from a height of 15 meters off the ground. How long will it take for the book to hit the ground in seconds?

gravity = 9.807 m/s²

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  1. 13 February, 08:46
    0
    1.74901 seconds

    Step-by-step explanation:

    The formula for free fall from height x is:

    x (m) = 1/2 • g (m/s^2) • t^2 (s^2)

    The time t (s) for free fall from height x (m) is:

    t (s) = √[2 • x (m) / g (m/s^2) ]

    So when height x = 15 m,

    t (s) = √[2 • 15 (m) / 9.807 (m/s^2) ] = 1.74901
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