Lol you can always tell an in-the-box thinker when this problem is presented.
It will fly.
The simple fact is that a conveyor cannot match the speed of the plane's wheels because the conveyor is not mechanically connected to the plane and the plane is thusly not affected by how fast the wheels are turning. A plane produces thrust from the engines against the air, not from the wheels. It could be on ice skates for all it cares. The conveyor could be moving at the speed of light in the opposite direction, if there was no friction and the wheels cold take it, it would still fly. As long as it can start moving forward (which it will on a conveyor because it has no resistance against it) it will fly.
Imagine riding a skateboard on a conveyor belt. Now imagine being able to pull yourself forward on a rope attached to the opposite wall. It doesnt matter how fast that conveyor is moving (it could be moving 100 mph, as long as you dont fall!) you will still be able to pull yourself forward. Because the plane is also not mechanically connected to the ground and does not press against it to move, its able to move forward because it is pulling against the air (the rope as in my example).
Problem solved. It will fly.
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