Skid,
Math problems can be solved 3 ways:
1- closed form solution, most elegant and pleasing to the mathematicians
2- numerically, take an unsolved equation convert it to a step by step computation for a computer to step through to get a good enough answer. This method is used for such complex equations as the Navier-Stokes partial diff eq.
3- empirically, ignore the physics, take data on what actually happens, create an equation that roughly fits through the data
The article doesn't explain very well, but I suspect everyone has used 2&3 for this problem, and this kid figured out #1. Good job kid.