"The conveyer belt is designed to exactly match the speed of the wheels at any given time, moving in the opposite direction of rotation"
Taken from the first post, the original question.
Ok - plane fires jet engine, wheels rotating speed has to increase, this we agree on, the statement above says the conveyor will simply match it's speed, by whatever means, that we don't need to know. Black magic, voodoo, witchcraft, whatever, it JUST does, so what? Now you still have a plane moving forwards just with wheels and a treadmill turning a little faster than before, like youtube guy said, the rotating speed of the treadmill (and therefor the wheels) has absolutely no impact on the situation…..
"The conveyor belt is designed to exactly match the speed of the wheels at any given time" to me does not say this speed is not allowed to increase, all it does say is that when the rotating speed of the wheels does increase (at that very instant, or simultaneously, same thing) the conveyor will also increase it's speed to match. ….. because of that, once again, yes the plane can move forwards and therefor fly.
Also, once again, this comes down to more of an english language argument than a physics one. The question is not inclusive enough to limit the scenario to make you right, it doesn't state "the speed of the wheels or the conveyor can not change, can the plane take off?" It simply says the conveyor will always match the speed of the wheels. Once again, if it were a car, you would be right, stationary object. Car with a jet engine on the roof, forward movement.
nate