Airplane and conveyor

There is one interesting task that my friends and I were asked at one of the gatherings - we fought over it almost all night, and were able to arrive at the correct answer. The task, in my opinion, is very interesting. I present it to the habrasociety ...

Aircraft (jet or propeller) is on the runway with a moving surface (such as a conveyor). The coating can move against the direction of take-off of the aircraft, that is, towards it. It has a control system that monitors and adjusts the speed of movement of the canvas so that the speed of rotation of the wheels of the aircraft is equal to the speed of movement of the canvas.

Question: Will the plane be able to scatter along this canvas and take off?

PS If there are those who know the solution - do not post an answer at least a couple of days - let others think.