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13 May, 19:29

A stone is projected upward with a speed of 80.0 ft/s from a 224 ft high tower. Find the maximum height and the speed with which it strikes the ground.

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  1. 13 May, 20:55
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    Maximum height: hmax = 323.45 ft.

    Speed with wich it strikes the ground: Vf = 144.02 ft/s.

    Explanation:

    Vi = 80ft/s = 24.38 m/s

    hi = 224 ft = 68.27 m

    g = 9.8 m/s²

    0 = Vi - g*t

    t (rise) = 2.48s

    hmax = hi + Vi*t (rise) - g*t (rise) ²/2

    hmax = 98.59m = 323.45 ft

    hmax = g*t²/2

    t (fall) = √ (2*hmax/g)

    t (fall) = 4.48 s

    Vf=g*t (fall)

    Vf = 43.9 m/s = 144.02 ft/s
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