Quote:
If you are in the second group, then you have to make various assumptions about whether or not this magical belt moving against the plane could somehow "hold back" the plane against the force of the plane's engine.
In the other versions of the question, the ones that are worded more clearly, the wheel speed isn't even mentioned, nor is wheel rotation. They just say that the belt moves in the opposite direction of takeoff, at the same speed as the plane. (Making it obvious what they meant).
In that case, even taking into account friction, it's not a big deal because the relative speed between plane and belt doesn't need to approach infinity. The relative speed ends up being twice the plane's takeoff speed, and the plane's wheels are most likely rated for that speed because sometimes it's gotta land pretty close to that fast.
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