[mechanicalbrain]

Also something to keep in mind. Your velocity is not going to be constant (assuming you use a motor to propel the ball) Since your motors power will continue to decrease as the battery drains. As I recall every year their are teams that will drain the entire battery in a single match. I would highly recommend using a Hall effect sensor to monitor your levels and integrate the equations for you motors power into the equations. Also Spin has the potential to really change distance and should be a variable in your equation.