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Analytical investigation of point mass motion in midair

The classic problem of the motion of a point mass thrown at an angle to the horizon is reviewed. The air drag force is taken into account with the drag factor assumed to be constant. An analytical approach is used for the investigation. Simple analytical formulae are used to solve two problems of optimization aimed at maximizing the flight range of a point mass and minimizing the initial speed of the point mass for getting to the given point on the plane. The motion of a baseball is presented as an example.