For this achievement you need first to filling the Nitro bar to full. (Earn Nitro with drifting, near miss with traffic cars, flying in the air, or just drive to some Nitro pick-up.)
If the Nitro bar is full and start blinking you can enter to Adrenaline mode. (See the Control menu in Options to known how can do this.)
While you are in Adrenaline mode you need to knock out a traffic car to popup the achievement. The opponent cars do not count for this.
You can make this either Carrier or Multiplayer game mode.