I can also tell you that if the conveyor accelorates at the same speed as the plane does the plane will not move and therefore not generate the required airspeed to lift off.
BZZZZZT Wrong. You would be correct if the wheels drove the airplane forward. However, the engine thrust causes the plain to move forward and the wheels just allow it to roll over whatever is underneath it. It does not matter how fast the conveyor is moving, as long as the wheel bearings can take the relative velocity between the airplane and the conveyor without failing.