A gun is fired straight up. Assuming that the air drag on the bullet varies quadratically withspeed, show that the speed varies with height according to the equationsv² = Aek- (upward motion)o² =- Bek (downward motion)kin which A and B are constants of integration, g is the acceleration of gravity, andk = cz/mwhere cą is the drag constant and m is the mass of the bullet. (Note: x is measured positiveupward, and the gravitational force is assumed to be constant.)

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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 p² = Ae-2k - (upward motion) k o² = - Bek k (downward motion) in which A and B are constants of integration, g is the acceleration of gravity, and k = cg/m where cą is the drag constant and m is the mass of the bullet. (Note: x is measured positive upward, and the gravitational force is assumed to be constant.) %3D

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 p² = Ae-2k - (upward motion) k o² = - Bek k (downward motion) in which A and B are constants of integration, g is the acceleration of gravity, and k = cg/m where cą is the drag constant and m is the mass of the bullet. (Note: x is measured positive upward, and the gravitational force is assumed to be constant.) %3D