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A football is thrown at 14.0 m/s at an angle of 35.0 degrees. How far away does it land?

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Spencer

  1. X = hor. = 14 * cos35 = 11.47 m/s.

    Y = ver. = 14 * sin35 = 8.03 m/s.

    d(up) = d(down),
    8.03t = 0.5 * 9.8t^2,
    8.03t = 4.9t^2,
    4.9t^2 - 8.03t = 0,
    Factor out t:
    t(4.9t - 8.03) = 0,
    t = 0,
    4.9t - 8.03 = 0,
    4.9t = 8.03,

    t = 8.03 / 4.9 = 1.64 s.
    d(up) = h = 8.03 m/s * 1.64 s = 13.16 m.

    tan35 = h / x,
    tan35 = 13.16 / x,
    x = 13.16 / tan35 = 18.8 m = distance the ball lands.

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    Henry

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