Alan's right. There's no complicated physics required (especially crock physics) to resolve it. The wheels on the plane are irrelevant- they have negligible effect on the forward motion of the plane. In fact that's the whole point of the wheels, unlike driven car wheels, plane wheels are there to isolate the plane from it's surroundings- i.e. to reduce the friction between the plane and the ground to the point that it is negligible.... until the brakes are applied.
The wheels are irrelevant, the conveyor belt is irrelevant, the lift of the plane is irrelevant, the crux of the problem is simply: do jet planes propel themselves forward when their jet engines are fired up? Of course they do, whether they're on land, in the air or in a vacuum (well rocket engines in the last case).
Now if the plane was in a wind tunnel which could match the velocity of the plane's jet engines, that would be a different problem altogether (but just as easily solved).
