Okay, guys, here we go...
If a paintball is sitting in the breech, and the barrel is a conveyor belt that was somehow set up to move opposite the direction of the paintball, when you pull the trigger, would the paintball leave the barrel?
The propeller(or turbine) is the thing that provides the thrust for the aircraft. This source of thrust acts on the
air around the aircraft,
not the runway, like a car.
Therefore, the wheels have no effect on the acceleration of said aircraft.
Therefore, the conveyor would have no effect on the acceleration of said aircraft.
Groundspeed does
not matter, only airspeed.
Let's say that this aircraft needs to achieve 100 mph before it can lift off.
Let's pretend that this aircraft is taking off into a headwind of 50 mph. It will still take off at 100 mph
airspeed. But because it started with a 50 mph headwind, it only needs another 50 mph
airspeed to be at 100 mph. Therefore, the aircraft can take off with a
groundspeed of 50 mph
This same airplane, again lifting off at 100 mph, takes off again, this time into a tailwind of 50 mph. This time, it needs to accelerate to 50 mph to get an airspeed of 0, and then accelerate more to an
airspeed of 100, making it's
groundspeed 150 mph.
So if this aircraft was on some sort of conveyor, this conveyor would only affect
groundspeed. Airspeed is a direct result of thrust, and therefore not affected by groundspeed.
jj