A plane is standing on runway that can move (some sort of band conveyer). The plane moves in one direction, while the conveyer moves in the opposite direction. This conveyer has a control system that tracks the plane speed and tunes the speed of the conveyer to be exactly the same (but in opposite direction).
The question is:
Will the plane take off or not? Will it be able to run up and take off?"
the conveyor belt moves at the same speed the opposite direction the plane moves. i don't know how fast the plane in the example has to be moving to create enough lift to take off, but assume it's 100mph. so at this point, the plane is moving at 100mph 1 direction, the belt is moving at 100mph the other direction, the wheels are spinning at twice the rpm it would be under a normal take off, and the plane has enough lift and flies off into the sunset <3