You're pretty much correct, but really it's all personal preference.
Typically sports will be shot using 60fps because then when you edit in post you can get smooth slow-mo because there are more frames to utilize when creating a slow-motion effect, or "conforming" footage.
60fps and 30fps also give a slightly more digit look as opposed to 24fps which is more cinematic. Of course shutter speed also plays into the digital look, but that doesn't apply to the D3100 because shutter speed is automatic.
Now of course you may want to shoot skiing in 24fps, there's nothing wrong with that, it's just a different style I suppose. It will give you a different look, and paired with a vintage prime or something, you could get a really different and creative looking shot.