We used to do an FAA approved takeoff procedure that used up most all of the available runway… and widened the eyes of observers – both inside the cockpit and out. It's known as an "improved climb."
On high/hot/heavy days where a long runway was not the limiting factor, but the climb was, we continued rolling on the runway well past V1 and a normal VR, finally rotating as the end of the long runway approached. It was 'supposed to' give us 35 feet clearance above the end of the runway with an engine failure, and give us the extra speed and climb performance to make the second-segment climb that could not be attained by rotating normally.
It was not an enjoyable maneuver, especially as you approach tire speed limits along with the runway's end.
****************************************************************
High-speed aborts are emergencies. Had a skipper once who invited all the squadron wives/girlfriends one Sunday afternoon at NAS Miramar to ride in the backseat down a 12k runway, in an afterburner, high-speed taxi.
Although they were planned aborts, by the 3rd aircraft – and some blown tires, all hot brakes, one brake fire, one long field arrestment, and one guy and girl actually getting airborne, the skipper wisely shut down the whole evolution before the rest of us could take the runway.
My date and I at the hold short had to turn around and taxi inbound to the ramp. And just as well, I think.
