First of all, 8 seconds is quite unrealistic for the kind of shot you are looking for. You won't even be able to get a still image of the car itself. Even if the camera is mounted on the car, there will still be vibrations. I think a fraction of a second is adequate.
Like others said, an ND filter will work. I have ND 8 filter (3 stop reduction) for waterfall shots. On sunny day condition, I find that it will barely give me what I want. It would be like F13 @ 1/30 @ ISO100 or something, which I find is not slow enough for nice silky-looking waterfall.
So, I will recommend experimenting with settings to see what suits you.
For example, on a typical sunny day, you will shoot with say 3-stop less to simulate ND8 to see how the background blurs. It will be over exposed, but what you need to know is if the blur effect is good enough for you. You can then try 4-stops less to simulate ND16 and such. Also, take note of the room of ISO and aperture settings you are willing to work with. For example, if I am taking landscape shot, I will want to shoot at F8-11 and ISO200-400. For something like a moving car, perhaps F4-8 at ISO400-800. The resulting ideal ND filter type will be different then.