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Anonymous
It would take off in ALL real world examples, however if the conveyor is moving at incredible speeds, this could create enough friction on the wheels (wheels are not frictionless) such that the plane cannot overcome it.
The typical example of, plane moving forward at 100mph and the conveyor moving backward at 100 mph would not come CLOSE to stopping the plane. The plane gets its thrust from either the propeller or the jet engines. Picture the plane cutting through the air, moving it self forward, pushing the air behind it. It is not like a car, in that a car "pushes" the road away from it, so to speak.
Sense the plane gets pulled forward by pulling air threw it's engines/propeller and pushing it out behind it, the wheels only act as a way to reduce friction between the plane, and the ground. If the conveyor moved VERY fast, enough to create a lot of friction for the wheels, it could prevent takeoff by stopping the plane relative to the air. Not likely.
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