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?

>>16
The plane's position relative to the runway does not change, so assuming the runway is not itself moving forward at the rate one would expect the plane to move forward at, the relative wind against the plane is the exact same as if it were not moving at all.