[BlackArcher101]

It's impossible for the plane to stay stationary or go backwards.

Most people are thinking about this the wrong way, ie if the speed of the treadmill matches the wheel speed, then it will stay put. WRONG. If the plane's acceleration came from the wheels, such as a car, this would be true. However, thankfully it doesn't. Instead it's from thrust produced by the engines. This thrust will still move the plane forward and even if the treadmill matches the wheel speed (which by the way is creating the wheel speed) it will still take off since air is moving over the wings. Essentially, the only thing that will happen is the tire speed will be 2x faster than normal and the takeoff roll (distance) will be slightly longer due to extra rolling friction. This rolling friction is miniscule compared to the thrust of an engine.

If SOMEHOW mythbusters proves this myth debunked, then sadly their experiment was not set up correctly. It's simply physics, draw a force diagram if you remember how.

Think about it this way... a moving treadmill is to cars as is a headwind to aircraft. Wind is what can prevent an aircraft from moving, not the ground moving.