quick generally implies that you have good traction and can put the power to the ground, or your gearing favors short fun blasts but has a limited top speed.
I had a 1990 Talon TSi many many years ago, and it was quick, ran acceptable quarter mile times, quickest being a 12.83 @ 104 mph.
My 2012 Mustang GT ran a 13.05 @ 108mph in stock trim, and 12.59 @ 113mph tuned.