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A dart leaves the barrel of a blowgun at a speed v. The length of the blowgun barrel is L. Assume that the acceleration of the dart in the barrel is uniform.

Find a time that the dart moves inside the barrel.
Express your answer in terms of the variables L and v.

If the dart's exit speed is 16.0 m/s and the length of the blowgun is 1.10 m , find the time the dart is in the barrel.
Express your answer with the appropriate units.

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1 answer

  1. It started at v = 0
    It exited at v = v
    v versus t is LINEAR (constant acceleration)
    Therefore Vaverage = v/2
    L = Vaverage * t
    so
    t = L/Vaverage = 2 L / v

    t = 2 * 1.10 / 16.0

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