Sorry I'm late to this discussion, but I'm with Flint. The problem, as stated, does not allow for the plane to develop any velocity relative to the air. Only this relative velocity (wing vs. air) can give you lift. (All aeronautics engineers: No Lift Without Drag!)
Doesn't matter what happens "in real life," this statement
Quote:
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the treadmill is made to match the forward speed of the plane
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makes it moot.