Here is the question that has divided the internet for years. There are countless 500+ post threads across the interweb debating this question.
“On a day with absolutely calm wind, a plane is standing on a runway that can move (some sort of band conveyor). The plane moves in one direction, while the conveyor moves in the opposite direction. The conveyor has a control system that tracks the plane speed and tunes the speed of the conveyor to be exactly the same (but in the opposite direction). Can the airplane ever take off?”
Tonight the mythbusters will test this myth and shed some light onto this mystery.
It will always take off. The wheels which the conveyor acts on are only bearings. Therefore there is no force that acts in the opposite direction of the thrust. It will take off at the same speed that it would if it were a regular run way. Wheel speed is independent of thrust. The wheels will always move faster than the conveyor.