The FIRST FRC challenge for 2013, Ultimate Ascent, involves shooting heavy flying discs (sturdy Frisbees) into goals. The physics of the equations of motion have been studied and published. I’ve created an interactive web page which allows you to vary some of the initial conditions to see how the trajectory is affected.
Go here for the web page.
For last year’s challenge, foam balls were to be shot into a basketball hoop, so similar equations of motion applied. Here is that page.