Classic Connundrums: Airplane on a Treadmill

A plane is standing on a runway that can move (like a giant conveyor belt). This conveyor has a control system that tracks the plane’s speed and tunes the speed of the conveyor to be exactly the same (but in the opposite direction) instantly.

Will the plane be able to take off?

Obviously, the answer is “Yes, the plane can take off.” Despite the fact that the plane isn’t moving relative to the surrounding landscape, it is still increasing its speed relative to the air directly impacting its wings.

Or wait, it isn’t. So obviously the answer is no—it’ll just sit there.

Right?