RE: MythBusters Airplane Takeoff Myth
The problem is that the problem statement is impossible to achieve. The original problem statement says that the treadmill must match the speed of the plane's wheels. Eventually, the wheels will over heat, melt, or simply achieve a terminal velocity. The plane hasn't moved up until this point in time, since this happens instantaneously. Then, the plane might as well be tied to a tree.
On a simple treadmill, however, the plane will take-off as was shown in Mythbusters.
Regardless, this is just BEGGING to open up a serious can of worms and an even more serious pissing match.