A plane on a conveyor belt

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Just watched mythbusters and apparently this is a big internet fad.

Anyway

Here's the original problem essentially as it was posed to us: "A plane is standing on a runway that can move (some sort of band conveyer). The plane moves in one direction, while the conveyer moves in the opposite direction. This conveyer has a control system that tracks the plane speed and tunes the speed of the conveyer to be exactly the same (but in the opposite direction). Can the plane take off?"

I knew the answer but I couldnt explain *WHY* but I was wondering what you people think.
 
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apt
 
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