Replying to Fear of injury:other sports

So I just started park skiing this year and I have gotten pretty good. I play ultimate frisbee and where I live it's actually serious. I'm really good at ultimate and like it but I really like skiing. Once I get going I try flips and spins onto rails but it's hard at first because I'm scared I will get hurt for ultimate or just plain hurt which is the worst. I haven't had a problom with this much but I'm actually scared about getting hurt and it doesn't stop me from going hard in the park but it worrys me. Does anybody else get scared about injuring them selfs for sports or has anybody injured themselves and had to pay for it when ski seasons over.