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26 March, 06:30

An object is dropped from a platform 400 ft high. ignoring wind resistance, what will its speed be when it reaches the ground?

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  1. 26 March, 09:34
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    To answer this item, we first convert the given height in meters.

    height = (400 ft) x (1 m / 3.28 ft) = 121.95 m

    Then, use the equation of motion which relates the distance covered with the initial and final velocities and the acceleration which takes a form,

    2ad = Vf² - Vi²

    Substituting the known values from the given,

    2 (9.8 m/s²) (121.95 m) = Vf² - 0²

    The value of Vf from the equation is 48.89 m/s.

    If we are to convert this back to feet.

    speed = (48.89 m/s) (3.28 ft/1 m) = 160.35 ft/s

    Answer: 160.35 ft/s
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