I have read some of the PW posts and is the plane moving with respec to the ground?

well, the question was

debate question of the day:

A plane is standing on a 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?

so it starts off standing, which I would interpret as still relative to everything.

the thing is the engine will drag the plane through the air, as it does so the treadmill will spin backwards at the same speed. the thing is that since the plane is not driven by the wheels, the act of draging the plane forward at 10mph, only induces the runway to move at 10 mph. if the plane were a car, driven by the wheels, the vector math from those two 10 mph forces would net to zero. but here it doesn't the plane still moves forward at 10mph in the air, and it's forward motion plus the rearward motion of the runway creates a 20mph wheelspin. the plane still moves in the air and takes off, just with the wheels spinning twice as fast as before.