To 'hey tack vol' and 'YES YES', or as I now think of you guys, "Flat Earthers"
You are both wrong.
1) The plane WILL take off
2) I have a firm understanding of gravity, and I HAVE read the thread all the way through, I suggest you do the same. Eventually, the majority of the posters realize the plane takes off.
3) The plane does NOT rely on the wheels to enable thrust, there is not power going to the wheels, the plane relies on its jet engines to propel forward through the air. The wheels spin freely.
4) The treadmill, even if it speeds up to 300 mph, will not slow the plane down, it will only cause the wheels to spin faster.
5) The treadmill can NOT nullify this, no matter how fast it speeds up to
6) We ALL agree that a plane MUST achieve speed before lift can be attained. Where we differ is the planes ability to achieve speed. The example of being pushed on a treadmill IS correct. The motorcycle/roller blade example is correct. The monkey bar example is correct. Additionally, NEW example... crank up your treadmill at home. Place a hotwheel car on the treadmill while holding it in place relative to the ground. If your treadmill is set to 8mph, than the wheels of hotwheel are now spinning at 8 mph. Now, with the hand of god (your hand) push the hotwheel further up the treadmill. You can do it right? The wheels are now spinning at 8 mph PLUS the speed you pushed the hotwheel. Even if your friend bubba, sped the treadmill up to 80 mph, you are still able to push the hotwheel further up the treadmill, it's speed relative to air will be whatever force you pushed it with, it's wheels will spin at THAT speed Plus the 80 mph the treadmill was acceleraded to. That is what the plane's engines do. There is no power to wheels, (plane's or hotwheels) only power to the outside force (jet engines pulling against air, you pushing with your own hand)
7) again the plane does NOT rely on it's wheels to provide speed on the ground, it is not a flying car, if it were a car, even a flying car with wings, then and ONLY then would you be right. The plane relies on jet engine to move it, not the wheels, the wheels just keep the fuselage from scraping the ground.
8) The treadmill can't stop the plane. How does the treadmill exert force on the plane? It doesn't. It will just make the wheels spin faster, not keep the plane from moving forward. Malmo has said so, the airplane people in their thread have said so, most every *inteligent* poster has said so. The rest of you still thing the earth is flat.
9) I don't think anyone has said that the plane's engines would just 'throw' the plane into the air. The plane will slowly begin to move forward, building speed, relative to both air and ground, and eventually take off. The wheels will be *spinning* twice as fast as the plane is traveling just before take off because the treadmill is going in the opposite direction.
10) wheels are NOT a necessary part of the process, just like a plane that lands on ice, or water. No wheels, and no boat propeler either.
11) to answer your final question of "why would we need runways if a plane could just take off" shows that you still can't grasp that the plane will travel forward, NOT stay in place 'treading water' on the treadmill like a runner or car would. Plane can't 'just take off', they need air traveling over/under the wings. In the riddles scenario, this would happen, because the plane would move through the air, the treadmill has a negligible effect on the planes movements, just the wheels.