Quote ="J. Willard Gibbs"icon_biggrin.gif
So we see that how the velocity of the ball changes in the face of air resistance contains a term dependent on the mass of the ball.
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It does, but I also said that the mass only effects the required force, the part you quoted was turning a bit of a blind eye to that - the fact air resistance causes a force is pretty meaningless in a theoretical (and tedius) sense - between the ball hitting each particle of air the mass would have no effect on the speed, direction, or path. A force causing balls of different masses to decelerate at different rates is not contrary to what I intially stated - indeed it is Newton's 2nd law.
Essentially, air resistance is a force and so mass would effect that. I said that.
The mass of the player is thoroughly irrelevant. If, for example, the player dropped the ball vertically as he ran forward, the ball would have gained its forward velocity due to the initial force required to accelerate the player (and ball) to that velocity. Once at that velocity it will maintain it forever unless other forces are applied.