FYI for those without Prime
If you want to watch the race without going to a pirate site, go to Twitch (either the app or twitch.tv) and search "nascar" or "coke 600". There's several people streaming the race. We'll see if they get taken down but so far I see about 6 streams. Some don't have audio or its the host talking to people in the chat, so if you're desperate, maybe just mute the sound and fire up the radio feed to pair with the video.
Also, if you could sign up fora 30 day free trial of Prime which should cover all the races. You can cancel at the end of the month