HAY /sci/, logic problem!

There is a giant, 10 mile long stetch of runway with a 747 on the middle of it. The runway, however, is specially designed to move, much in the same way that a treadmill will move, in the opposite direction of the plane. Secondly, the treadmill is attached to a computer which will match the acceleration of the plane exactly and constantly, in the opposite direction.

What is the result of this experiment? Does the plane ever take off?

>>45 here. I'm assuming that this problem is theoretical, so we can take the conditions as ideal; i.e. the treadmill is as long as we need it to be, the wheels can rotate without friction, etc.

For a physical case, yes friction, size, structural integrity and all that come into play (and are dominant), but they are practical complications and not relevant to the issue at hand.

The plane can move relative to the ground and the air around it, so it can take off.