Alright, this happens to me every once and a while when I am very tired.

I close my eyes, and wait to fall asleep, but begin to have a very short, very vivid dream. Usually it is something very random and unpleasant. For instance, one time I was "dreaming" that I was riding a very tall bike. The bike started to wobble, and I fell off the bike, and plunged toward the ground below. Right before I smacked on the ground I abruptly woke up. I know for a fact that the dream lasted a very small amount of time, most likely even a couple seconds because I had looked at the clock before I closed my eyes and I looked at it after I woke up from the little dream, and about 7 minutes had passed.

The confusing thing about it is that the REM stage is the last stage in the cycle, so it is unlikely that I went through the whole cycle in that short duration of time. I hadnt slept for the whole day until that point so it wasnt a WTBT sort of thing. Is this a normal occurence?