I ask this because back in the late 1980s I reviewed some footage of aircraft taking off from DFW. I did some photogrammetry. Knowing exactly how many frames per second were in a "frame advance" on the VCR, and the fuselage length of that particular model, I used the speed = distance / time formula. I found some AA/DL MD-80 aircraft had reached 180-200 kt (error 10%) before they lifted off.
I assumed something was wrong in my computations until years later, when I discovered all this:
-- Continental DC-9 at IAH in 1996, too hot (200+ kt) on the final approach and rolled off the runway.
-- TACA 767 that had a similar incident in Guatemala in 1993.
-- American Airlines 727 at CVG in 1965 was 300+ kt on the base leg
-- Depending on the aircrew, Key Airlines 727-100's I flew on from Tonopah Test Range into Nellis AFB 1989-90 sometimes flew highly unstabilized final approaches... I was on three flights where the pilot did an extremely short final, turning from base to final over the approach lights about 200 ft AGL.
It might be safe to assume that hot approaches/takeoffs are more common than we think.
On the other hand, the times that I used my GPS during takeoff/landing on Delta and Continental 727/737 flights in recent years, all speeds looked perfectly reasonable to me (110-140 kt).
I'm not trying to start a fire here or anything... this topic has always piqued my curiosity.
Pics of aircraft involved in hot approaches shown below for enjoyment...
Photo © Bryan Correira
Photo © Frank Schaefer