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So the question becomes what speed is the runway moving for the plane to move at all? Would it not become infinity? At that point, wouln't the wheel bearings be melted or frozen?

I just started thinking along these lines. It's interesting.

My first stab at it is this:

At takeoff, the conveyor belt would be moving at twice the speed of the airplane's standard takeoff speed. This would be fine, assuming the plane's tires can handle that much friction. I think the tires are probably rated for that.

I'm probably wrong, it's probably one of those things that requires the conveyor belt and the tires to reach infinity speed. I never understand those physics problems.