No personal offense was taken (likewise, I hope, he says after taking a good solid whack at the wasp's nest!), and I do concede that I was somewhat lacking in my description of why I believe my theory to be valid.
Here is why I believe the projectile continues to accelerate for distance "x" as it leaves the muzzle:
1. Projectile continues to accelerate up to the point of muzzle exit. This is indisputable unless there is grossly excessive barrel length involved.
2. As the projectile begins to leave the muzzle, friction begins to drop off. This is not an instantaneous event.
3. Pistol bullets tend to have a contact length of ~1 caliber, more or less depending on actual bullet design and weight. Rifle bullets are ~1.75, more or less.
4. Because the exit of the contact portion of the projectile is not an instantaneous event, occuring over a distance, it continues to accelerate further as it is leaving the muzzle.
5. Upon complete exit, the bullet now has zero friction relative to the barrel, and the gas now has freedom to disperse, but this also is not an instantaneous event. It will take a number of microseconds to disperse.
6. Until the gas disperses to the point where it is no longer providing propulsion to the projectile, it is still providing propulsion to the projectile. (huh?!?!) It is evident that some propulsion has being given as the shock wave and gases from the burning propellant quickly overtake the projectile. Just like holding your hand over a garden hose, the water is dispersing, but you can feel the force of it. IRStuff, this basically is what I am contending gives the "catapult" effect, for lack of a better term on my part. I've watched countless high speed frame grabs, and this is very typical, not just a random Youtube fluke.
7. The question is, with a given set of parameters, at what distance from the muzzle does it stop accelerating? Dunno, sounds like more than freshman physics, but maybe not. I'm comfortable being proven wrong, I just don't have the mathematical ability at the level required to either prove or disprove it.
Looking forward to further thoughts and comments on this.
It is better to have enough ideas for some of them to be wrong, than to be always right by having no ideas at all.