I’m guessing “long-drop” means broken neck, instant unconsciousness, swift death. Is that right?
That’s the general idea.
Yes!
That's the way it's supposed to work, but it can also mean decapitation a la Tom "Black Jack" Ketchum in 1901.
http://en.wikipedia.org/wiki/File:KetchumDecapitated.jpg
There's also: suspension, short drop which kill by strangulation, and the standard drop (which was used to execute the Nazi war criminals by the US Army)