Here is the full list of all 10 Go-Kart Racing achievements. It takes around 0-1 hour to unlock all of the achievements on Windows.
Complete one race.
Win a race.
Finish in the Top 3 in a race.
Finish in the Top 5 in a race.
Finish in the Top 10 in a race.
Finish in the Top 12 in a race.
Finish in the Top 15 in a race.
Finish in the Top 18 in a race.
Reach 88 MPH in a race.
Finish 2nd or better in a race.