A gun is fired straight up. assuming that the air drag on the bullet caries quadratically with speed, show that the speed varies with the height according to the equations:
v^2= A*e^(2kx) -g/k (upward motoin)
and v^2= g/k - B*e^(2kx) (downward motion)
A and B are constants of integraion, and k=C2/m, where C2 is the drag constant, and m is the mass of the bullet.

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