Edit: had the same experience in a car once as well. Total focus on solving the problem. Terror comes after.
The plane was without engine for several minutes before I landed, yet that time was spent fully engrossed and completely focused on the problem. I had clarity of thought like nothing I've ever experienced.
No emotions — no fear, nothing — just stone cold rationality. Going through the checklist, Mayday call, considering options, etc. with swift and decisive precision.
Though I believe the extensive training certainly helped, to this day I'm amazed at the incredible stress response our body has evolved. Even though it happened many years ago, I still think about it a lot.
It'd be interesting to at least hear from the ones that totally freaked out and made it anyway.
You reminded me of something that happened to me while driving a few years ago. I was on the highway in the far left lane going about 70mph. I was driving an Audi A4, which had much better (sensitive) handling than the pickup truck I was used to driving. There was a breakdown lane to the left of me (unusual for most highways) and I thought to myself, "if I suddenly needed to swerve out of the way for some reason, I could flick my wrist and get into the left breakdown lane to avoid whatever was happening in front of me".
Not more than a few seconds after having that thought, I saw the car in front of the car in front of me jump up onto the car in front of it. The car in front of me slammed on his brakes. I flicked my wrist to the left without thinking. Only when I passed (in the left breakdown lane) all the cars piled on top of each other did I realize just how closely I dodged a serious accident. If I had not visualized what I would do in such a scenario a few seconds earlier, I'm not sure if I would've done the same thing.
Unfortunately a lot of these rules only work if other drivers on the road are also following them (around here, in the Boston area, you'll be lucky to have 2 car lengths of space in front of you no matter your speed), so I've learned that simply being aware at all times (no phone, no distracting conversations, and holy hell no text messaging or emails) is the best thing anyone can do for improving their safety while behind the wheel.
Supposedly, people who think through how they would handle emergencies or other bad situations handle them much better than people who don't like to think about it. This is true even when it's a situation they hadn't actually planned through yet, because they have the mental habit of solving problems rationally rather than just pretending they won't happen.
I now leave a lot more space between me and the car in front, and I've trained myself to remember that traffic might stop dead at any time.
As a skydiving instructor, I've had 3 parachute malfunctions that required cutting away & deploying my reserve. Each time something goes wrong, everything else goes out of focus: you have a problem to solve. You first assess the situation and work to regain control - as long as you have altitude, you have room to work & get creative. When you reach a certain "decision altitude" - or determine there's no way you'll be able to land the parachute safely - you make the decision that you'd do better with a different parachute. And you enact emergency procedures.
Beauty of it is, good training makes this automatic. It gives you a decision tree to work off of. IMO, the same sort of decision tree is an excellent thing to think about when crisis planning for companies. But that's another story.