Airplane and transporter

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

The aircraft (jet or propeller) is on the runway with a movable cover (like a conveyor). Coverage can move against the direction of takeoff of the aircraft, that is, to meet him. 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 was equal to the speed of movement of the canvas.

Question: Will the plane be able to scatter along this canvas and take off?
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PS If there is a knowledgeable solution - do not post an answer for at least a couple of days - let others think.