Some people stay calm and focused, some don't. Learned this in a sports seminar a while ago - there are people who are "functioning" in cases of emergency and those who are panicking. Thankfully, most people "function".
Two months ago, a kid from my ski group had a similar accident. We immediately applied first aid, called the ambulance and rushed him down the mountain. Only later did I realize that almost everything we did was kind of automatically working. I'm glad it is that way - otherwise the kid could have lost his kidneys.