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    speed of a bullet

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    A gun is fired straight up. Assuming that the air drag on the bullet varies quadratically with speed, show that the speed varies with height according to the equations:

    v^2 = g/k - Be^(2kx) (downward motion)
    v^2 = Ae^(-2kx) - g/k (upward motion)

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    https://brainmass.com/physics/newtons-second-law/speed-variations-gun-example-202993

    Solution Summary

    The solution investigates the speed of a gun which is fire up, where the air drag on the bullet varies quadratically with speed.

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