physics

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In a movie a character jumps off a balcony at an angel of 25 degree 10 meters above the ground and land in a window that is 5 meters away and 9 meters above the ground. What is the intial velocity?

  • physics -

    The initial velocity has horizontal and vertical components:

    Vx = v cos(25) = .9063V
    Vx = v sin(25) = .4226V

    The position has horizontal and vertical components:

    Px = Vx * t
    Py = 10 - 4.9t^2 + Vy*t

    How long does it take to travel the 5m across?

    5 = .9063V t
    t = 5/.9063V
    V = 5/.9063t

    How long does it take to drop the 1 meter in height?

    -1 = 10 - 4.9t^2 + .4226V*t
    -1 = 10 - 4.9t^2 + .4226*5/.9063
    -1 = 10 - 4.9t^2 + 2.3315
    4.9t^2 = 13.3315
    t = sqrt(13.3315/4.9) = 1.65s

    To cover 5m in 1.65s, Vh = 3.03, so V = 3.34m/s

    Check on position:
    10 - 4.9*1.65^2 + .4226 * 3.34 * 1.65 = -1.01m

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