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 o = Ae k - (upward moton) -2kr k =-Be (downward moton) in which A and B are constants of integration, g is the acceleration of gravity, and k =cz/m where cz 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.)

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 o = Ae k - (upward moton) -2kr k =-Be (downward moton) in which A and B are constants of integration, g is the acceleration of gravity, and k =cz/m where cz 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.)