5. Black cab. The famous London taxis are actually called 'hackney carriages' but in London we just call them 'black cabs/taxis'. London taxi drivers have to pass a special exam called the Knowledge to get their license so if you take a black cab, you can be sure the driver will know the way.
That said, hailing is a fairly specific word that not everyone uses. If someone uses call a taxi, I wouldn't be surprised if they then go and hail a taxi.
1907, shortening of taximeter cab (introduced in London in March 1907), from taximeter automatic meter to record the distance and fare (1898), from French taximètre, from German Taxameter (1890), coined from Medieval Latin taxa tax, charge. An earlier English form was taxameter (1894), used in horse-drawn cabs.
Hack is short for hackney (from the Middle English hakeney), which at one time described a horse of average size, used for regular riding—as distinct from stronger horses used for hauling or in war. Such horses were often let out for hire to pull a coach or cab.
Sherbet. Slang for cab. It derives from the Cockney rhyming term, 'sherbet dab' (the sugary tooth-dissolving treat that you chow down with a lollipop).
Yellow cab taxicab operators exist all around the world (some with common heritage, some without). The original Yellow Cab Company, based in Chicago, Illinois, was one of the largest taxicab companies in the United States.
My whole life is pointed in one direction. I see that now. There never has been any choice for me.” What makes this one of the most memorable Taxi Driver quotes is how it marks the biggest turning point in Travis' character arc.