Ok, so for my Analytical Mechanics class, we have a problem that requires the use of Maple, Mathematica, etc to solve. I was able to get a workable solution, but getting a final answer (for initial groundspeed, as I'll describe in a minute) involved a process of guess and check, manually tweaking variables to find a close approximation. My professor's solution did much the same thing. I don't like guess and check, since I'm sure Maple is capable of doing what I need it to do automatically. So I'd like some suggestions on how to make it work. First, though, The Problem: