If you are talking about taking photos of the cars in motion during a race, I doubt that any camera under $200 is going to have that capability. And you're going to need something with a significant zoom, too. If you find something at that price range that gives you satisfactory performance, let's hear about it.
If you're talking about cars sitting still, then just about any brand name point-n-shoot camera should do.
I am looking for a camera that can take pictures at a NASCAR races and everyday uses. So I would like one that can take pictures without the "blur". I also want it to fit in my pocket and for under $200.