think about this...

[CrazyEyez]

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Patrick, you understand that if the conveyor is going 293476943769437694376mph then the plane has to go 293476943769437694376 + 1 mph to move forward?

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The plane doesn't - the wheels' tangential velocity does, but that has absolutely no effect on the forward motion of the plane - the bearings are frictionless - no force gets through to the plane itself.

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Finally we admit that the wheels must be going faster than the conveyor, hence the OP conditions are NOT satisfied.

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sure they are - the conveyor velocity simply accelerates instantaneously with the wheel's tangential velocity.

but as Patrick said, these accelerations have absolutely nothing to do with the forward acceleration of the plane.

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Eh - technically then the speed of the conveyor instantly reaches infinity and the wheels infinity+1. Paradox!!!
So the whole thing is in fact semantical.