You don't need a fast car yourself to get this achievement. Start the daily test drive of any episode. Assuming you want this achievement as early in the game as possible, this will be episode 1. You will want you nitro bar to be filled entirely. Perform take downs by ramming other cars and make sure you get the nitro pickups as well. Once your nitro bar is completely filled, double click the screen to use nitro. It depends on the car that you will get in the daily test drive, but I reached 287 KM/H today. Well enough to go past 230 and 260 KM/H.
This way you will also get:
If you don't want to go for this achievement specifically, it will also unlock through a later course of the game, where you will drive cars that are able to go past 350 KM/H.