Is OTHER wrong in the post ? POST : To start off, I'm 17 and I'm aware this is a light subject. I just wanted some feedback.

So it's recently snowed where I live and it's the most snow we've gotten in 10 years, being 12 inches.

My friend lives about 2/3 of a mile down the road from me and another guy was there and we were just gonna hang out and maybe screw around in the snow. Later they said another friend of mine would pick us up in his Jeep and we would go to this hill about two miles away and sled down it. There is sort of a hill on the way there on a road that hasn't been plowed, but my friends Jeep has AWD.

So I go ask my parents if it's cool for me to walk to my friends' house (2/3 mile away) and then take a ride to the hill to sled down.

My dad gets pissed at me for asking and then complains about how I've started to hang out with my friends too much and that it's too dangerous. 

My mom says that my friend is an inexperienced driver and that I can't go.

I compromise and then say well what if I just walk down to my friend's house, we hang out, and then they can go on ahead in his Jeep and I'll just split off and walk back home. 

My mom gets pissed for being persistent (asking twice?) and tells me that it's too dangerous to *walk*. In 12 inches of snow. I have boots, layers of clothing, thick socks, etc.

I tried to challenge this by saying I can definitely handle walking this distance in snow, but she said my feet will get wet and ,to quote her, "I'll get hypothermia and freeze". On a 2/3 mile walk? If this helps my argument at all, the day before I had gone on a run and ran 7 miles in 38°...

We argue back and forth for a minute or two.

Anyway, I embarrassingly told my friends that my parents won't let me do any of their plans and just went up to my room. Right now I'm doing homework that won't be due for 4-5 days because I have nothing better to do.

My parents are now mad at me for not coming downstairs to eat dinner or help with the christmas tree. AITA?