Will it fly?

[BLINGMW]

The point is that the plane has to have some sort of forward relative motion.

The problem you're having, which many do with this problem, is that you're thinking of GROUND SPEED, which is irrelevant to how a plane flies. Once in the air, a plane could have 0 ground speed, even negative, but because of the wind, it maintains its AIR SPEED and continues to fly. I'm sure we all know this, so I don't mean to sound condescending, I just have to start somewhere.

In this case, the plane will still move forward, achieve the necessary airspeed for take off, and off it goes, regardless of how fast the treadmill runs, be it in forward or reverse. The treadmill will ONLY influence the speed of the wheels, and the plane will take off as if it were a normal runway. If you were standing in the terminal watching the whole thing, you might not even notice the treadmill. The plane would build speed and take off like normal relative to you.

Don't feel bad, this riddle trips everyone up.