Earl that is Air France 296 you're describing (the title of the youtube video you linked to is "Air France Flight 296 | Airbus A320 Crash" !!!
), but it did not happen the way you remember. It was incidentally the first crash of an A320. Read the wiki article Zimme83 linked to.

All I know about it is what the accident report states! If the crew had over rode the computer and pushed the thrust levels full up, it wouldn't have crashed.
It reminded me of another crash, which had nothing to do with what we are discussing, a DC9 out of Washington National, with the deicing on the EPR probes turned off, in a snow storm, and the crew failed to recognize what was happening and did not push the "thrust levers" full forward, that to would have prevented a crash!
I instructed for many years in a lot of different equipment, and one rule I had everyone implement, where or not it was in the book, if the nose of the aircraft is up, to any degree, in an emergency, push the "Dam+ throttles full forward"! I realize that there were some exceptions to that rule, but the point I wanted to make to the student was just this: "fly the aircraft first, then worry about any damage you might or might not do to the engines!
As for as I know, I never had a student make a "sudden, unscheduled" arrival off field somewhere!
Remember, there are three things in aviation which you need, but can never use and that is this"
Runway behind you
Altitude above you
Fuel left in that red truck by the terminal