think about this...

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thats the whole point of a treadmill, so you can run WITHOUT MOVING.

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Now throw rollerskates on and use the handles to pull yourself forward.

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I'm going to expand on this a little. Imagine you're on the treadmill, on roller skates with perfect bearings. Someone is controlling the speed of the treadmill for you, and they keep turning it up. Since you're on frictionless wheels, the speed of the treadmill doesn't affect you, right? Okay, grab hold of the handles now. Imagine that the dude keeps cranking up the speed on the treadmill. Is there any speed he could possibly turn it up to that could stop you from simply pulling yourself forward with the handles if you wanted to?

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people are going to say

"but when you pull yourself forward, the wheels will be going faster than the treadmill" which is partially true

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They'd be wrong. The wheel center is moving at a different speed, but the surface in contact with the treadmill is not, assuming non-slip conditions (which we are). Do I have to draw a picture of this too, when I unleash my fury?

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Actually I would like to see this picture.

The OP as stated, is not possible. It is not possible to have a runway moving at the same speed as the wheels if you are applying an outside force to the plane.