Just a few minutes ago I had a very similar situation, although at day time. I was going at about 40 kmph straight forward my lane near a bus standing at a bus stop at the right side of the street. At the moment I was passing the bus, a young person almost jumped out in front of me, maybe 15-25 meters away. They were hidden behind the bus, so I had no way to see this coming in advance. Fortunately they realized I was coming and backed off and I also managed to stop completely before them.

So if my reaction was 5.7 seconds, I'd definitely have applied brakes far too late. I conclude the total time from classifying the object moving into my way and applying brakes was less than a second. (And btw, my car has emergency braking / pedestrian avoiding system and it didn't trigger, so I was faster).