Quote:
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Originally Posted by doesn't matter
"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 opposite direction)."
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Okay, I read all 47 pages of this thread, so I just have to post, just to make it worth my time.
I have a different interpretation, that has not been mentionned before (I think). The problem, as stated here, makes absolutely no mention of wheel speed. It talks of the plane speed. Therefore, if the plane isn't moving, it has no speed, therefore the treadmill isn't moving. If the plane has speed, it is moving (distance over time, right?), and the treadmill is moving. None of this is new to the thread.
Now the important part is that the treadmill and the plane have ABSOLUTELY NO RELATION TO EACH OTHER. Okay, the problem states that the plane is on the treadmill, but the result would be identical if the plane were sitting on a regular runway, next to the treadmill runway. As the plane increases its speed, so does the treadmill but who cares? They are unrelated other than that simple fact. The plane will move forward and take off.