1) An aeroplane is sitting at rest on a very powerful treadmill. You are at the controls of the treadmill, while I am at the controls of the aeroplane. On some signal, I begin to attempt to take flight in the plane, and you attempt to match my speed to try to keep me stationary. Will the plane take off?
2) An aeroplane is sitting at rest on a very powerful treadmill. You are at the controls of the treadmill, while I am at the controls of the aeroplane. On some signal, I throttle up the aeroplane and you turn on the treadmill, and we conspire by our joint effort to try to keep the plane stationary relative to the ground. Will the plane take off?
3) An aeroplane is sitting at rest on a very powerful treadmill. You are at the controls of the treadmill, while I am at the controls of the airplane. On some signal, I attempt to take flight in the plane, but you match my speed with the treadmill and keep me stationary relative to the ground. Will the plane take off?
1. Yes.
2. No.
3. Whoever asked this question is an idiot.