Question

What is the normal acceleration of a car?

Answer 1

The normal acceleration in the United States is zero to sixty time. The average rate on ordinary cars was between 3 and 4 m/s2

Answer 2

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.