Let's take a look at which commercial planes can operate from the smallest runways.
simpleflying.com
Quickest accelerating. That is purely a matter of thrust/weight.
Takeoff distance is another matter, and includes things the stall speed of the airplane is so, of course, the straight wing turbo prop is going to have an advantage in that regard.
The 757 has one of the highest thrust/weight any commercial airliner.
However, the perception of acceleration on this day has to do with how much both thrust, and weight, vary on any given flight. As I discussed in the thread about airliners, we rarely take off at full thrust. The reasons for that include saving wear on the engines.
But, some circumstances require us to use full thrust, things like the potential for windshear, or gusty conditions, or a short runway, or the airplane just needs another full power takeoff for maintenance testing.
We rarely take off at maximum gross weight. For a long range airplane like the 757, in domestic operations, we don’t carry nearly as much fuel as we would for an international flight. Also, cargo load and passenger loads can really vary.
So, for the OP, you could easily have a combination of a gusty day, requiring a maximum thrust takeoff, with a long range airplane that had a low fuel load compared with its maximum fuel , a modest passenger load compared with maximum, and resulting very light weight compared to its maximum weight, and the result is unusually strong acceleration.
