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March 28, 2017

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A baseball is hit 1.3 m above home plate. The bat sends it off at an angle of 30 degrees above the horizontal at a speed of 45.0 m/s. The outfield fence is 100 m away and 11.3 m high. Does the ball clear the fence?

  • Basic Physics - ,

    Vertical vi = 45 sin 30 = 22.5
    horizontal u = 45 cos 30 which is constant

    h = hi + vi t - 4.9 t^2

    d = u t
    100 = 45 cos 30 * t
    so
    t = (100/45)/cos 30

    then
    h = 1.3 + 22.5 t - 4.9 t^2

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