[lcoreyl]

The physics degree in me says this is a very interesting question to pursue.

The engineer in me says 2 things:
1) speed is a factor in how much drag comes into play. I don't think you're going to be approaching baseball speeds unless you're going for the robot that parks in the alley, receives the pass and chucks it full court (if you are--bravo!).

2) this math would only matter after you have a mechanism that is VERY repeatable with the shot. I would worry about that error first.