Very much a hypothetical question:
At Trondheim a few days ago we had quite a long, fast (to my experience) pushback: now obviously we didn't hit anything close to Vr, but it started me wondering if an airliner could theoretically fly in reverse.
Say for the sake of argument that we flipped the engines round without introducing any other problems, and stuck a window in the tail with a seat, controls and flight instruments in front of it... then put the plane on a runway and tried to take off. Would the airfoil allow the aircraft to take off? Would it be in any way controllable? Obviously I'm not expecting the plane to be flyable by a pilot, merely curious if it's theoretically possible aerodynamically (perhaps computer controlled).