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If it were a car and depended on the friction between the tires and the ground to move forward, that would be another thing. But in this case, the backward thrust of the engine is what's moving the plane forward. I don't think the treadmill would have much of an effect on the outcome, if any.
Think of it this way. A plane already in the air flies just over the treadmill. Does the movement of the treadmill affect the movement of the plane?
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"Against stupidity the gods themselves contend in vain."
-- Friedrich Schiller
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