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Originally Posted by AtomicLabMonkey
Assuming a frictionless model it shouldn't matter if there is a conveyor belt at all, or if it is moving with the direction of travel or against it. The wheels are just rollers. The plane will accelerate and take off because it doesn't apply thrust to the ground/conveyor/whatever, it's exhausted into the air.
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And the conveyor is constantly matching the wheel speed which will not allow the plane to move forward.