Imagine if you are on a conveyor with a jet pack and you wnated to take off vertically, the conveyor would have no effect on that. Now imagine if we had a propeller and wings attached, the conveyor matches our IAS, we could never keep up, but if the engine was powerful enough it would drag us along the conveyor even though the conveyor was racing below our feet. Assuming the engine is ok for normal take-off, the only variable here is the drag factor of our feet on the conveyor. Intuitively, I would say that the drag increases as the speed of the conveyor increases. Lets say, we still cannot take off. Now, give me some cheap roller skates. Lets say, drag factor is reduced greatly, but still no take off. Now we get some primo wheels, drag factor is reduced dramatically, but alas, still not good enough. Now we goet some reverse magnetic boots that reduce the friction here to close to 0. Now it doesnt matter how fast the conveyor is running because we can practically levitate above it and take off happens. So there is really not enough information to answer this question. We need a drag variable for the wheels or if the wheels are sufficient, the plane will take off. This can be shown by reversing the conveyor and running it WITH the plane. If there is 0 drag, the wheels will simply not move at all and the plane will take off normally.