This is a tradition from my husband's side of the family. I'm going to be honest - I didn't really get it at first. Yet it's something I still look forward to every year and would miss if we didn't do it.
After all of the kids color their Easter Eggs, they bring them to Peteetneet in Payson because it has a wide open area with a huge hill. Once we are all there we have a picnic and then take our eggs and roll them down the hill. That's it - that's the tradition.
The first year I went I kept trying to figure out the rules. "Are you supposed to get the farthest? Is your egg supposed to go the fastest? Do people throw them as far as they can?" Nope. They just roll them down the hill. Then they walk down and get them and hike back up the hill and roll them again. They don't necessarily all roll them at the same time - there really isn't a game behind it (although I'm sure it'd be easy to get one started if you were interested.)
Once I got over trying to figure it out, it actually really grew on me. Eventually your egg with hit a bump or roll too fast, and shatter into pieces which is fun. It's kind of fun to be able to do something fun with the eggs you decorated.
This is also an activity that is really fun for little kids. For once, a kid that is always being told not to throw rocks or grass or bark (or pets) can now throw or roll their egg all the way down the hill until their heart is content!