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Originally Posted by Flint
Forget the wheels. Wheel speed is not a factor in the original question, so you must assume that it is accounted for, or you are adding extra information.
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No, because wheel speed is identical to the speed of the plane relative to the treadmill. They are the same thing.
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But it does, necessarily, affect the speed of the plane relative to the treadmill (see: Interpretation #1).
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But the speed of the plane relative to the treadmill does not affect the speed of the plane relative to the ground. The plane's engine does. If the engine is going, then the plane moves forward relative to the ground.