I went to everybody's favorite search engine to get some data to answer this question with. I can't name it, but it rhymes with Floogle. Anyway, I searched for the phrase "zero to 60" just to get an idea of what's hot.
Floogle pointed me to a website that provided this data on fast cars:
#1). 2016 AMZ Grimsel Electric Race Car 0-60 mph 1.5 sec
#2). 2014 Porsche 918 Spyder 0-60 mph 2.3 sec
#3). 2015 Tesla Model S P90D 'Ludicrous Speed' Upgrade 0-60 mph 2.6 sec
And my favorite, because I own one:
#4). 2000 Dodge Intrepid ES 0-60 mph 8.4 sec
Here are the accelerations for the zero-to-60 times listed for these 4 cars:
#1). 17.88 m/s² (1.82 G's)
#2). 11.66 m/s² (1.19 G's)
#3). 10.32 m/s² (1.05 G's)
#4). 3.19 m/s² (0.33 of a G)
That's what these "fast cars" will do, on the track,
with their pedals mashed to the metal.
"Normal" accelerations are all less than these.