It's all relative people.
The question did not state what the conveyor's speed was linked to. The argument here (and the answer) is based on this. If the conveyor's speed is linked to wheel speed (speed of wheel moving reltative to ground) the 747 will never take off. If the conveyor's speed is linked to airspeed, see my previous example, the plane might take off. Aircraft generally measure speed by airspeed, even when they're on the ground.
Quote:
A plane (747 passenger jet) is sitting on a runway that can move (some sort of band conveyor). The plane moves in one direction, while the conveyor moves in the opposite direction. This conveyor has a control system that tracks the planes speed Relative to WHAT??? and tunes the speed of the conveyor to be exactly the same (but in the opposite direction).