Updated to reflect a proper analysis using Wolfram Alpha with Ether's equations to solve for Time as a function of distance to goal, gearing, mass, and radius. The new file size is reduced by 80%!
The goal for this new revision is to get the final #'s within 10% of what's seen on the field while also exposing designs that may burn a motor out over the duration of a competition. It will also serve as the foundation of an extension to Karthik's strategy presentation for DC-area teams.
Note -- the product log function winds up being so negligible in good designs that I don't bother with Newton's method to calculate it. It does expose bad designs, yet there are also other indicators of 'bad design' that will become apparent in the graphs.
John, here's your proverbial idiot button
