[blueyoshi256]

Ether is right. I was trying to oversimplify the physics.
However, the second possibility I suggested (which Turing'sEgo described far more clearly would accomplish something close to what you want. If you remove the criteria that it has to pass through the center, and use a single velocity, you can compare goal distance (diagonal) and shooter angle, and run a regression. It will not always be quite as nice a shot, but if you grab enough data (angles and distances that you hit at), the regression will basically mirror a table of the data. It does not use variation in velocity, and it will not hit at the exact vertex every time. However, this regression did work for us in 2013, and is a poor man's alternative to the calculations that Ether is describing.