The bullet accelerate the moment the primer fires --as long as it's moving faster and faster, it's still accelerating. Most barrels are made to do this, seldom does someone build a rifle with a barrel so long he gets diminishing returns, let alone one so long that exhausts every joule of spent gas right up to the muzzle. It's impractical. So you can assume that pretty much ALL barrels accelerate the bullet all the way through.
But the moment it leaves the bore, it begins to fall and to decelerate. This happens the INSTANT it leaves the barrel. The cosine element will continue on according to Newton in a straight line until affected by elements such as wind. This is your deceleration. The sine element will reduce height of the bullet with respect to the ground at 9.8m per second per second. This is gravity. If you fired a bullet from a level barrel and dropped one at the same time it left the bore, and ground was same height all the way through, then the two bullets will hit the ground at exactly the same time. Fact.
How you analyze a bullet in the bore is different from how it's done in the open. It's internal vs. external ballistics.
But there is no sub/trans/super transfer really going on inside the bore. Basically the gas pushes from behind overcoming the friction of the bullet riding the grooves and lands. It's continuous but it's not a linear transition, more logarithmic I'd assume. This happens in all barrels. The rifling equation takes into consideration the muzzle velocity of the round, so ideally the bullet should be stable as it exits regardless of it's velocity. Many pistol bullets are fired at transonic speeds but it doesn't make 'em any less accurate. Not at all. Having a bullet at 800m going 1300fps but stabilized (twist rpm) for one going 2900 at the muzzle, now that's different.
Improper rifling vs. velocity can cause bullets to exit the bore and keyhole abruptly before stabilizing or partially stabilizing or never stabilizing. Say you're using a bullet that's not optimized to the rifling in the bore. Why you should always test fire against a few sheets of cardboard real close (2 inches, six inches, a foot, two feet, etc.) before mounting a suppressor. Do subs and supers both exit stable? Round hole? .300BLK especially, but you should do all rounds before mounting a suppressor. That round has a lot of variation in bullet weight and design and forcing 'em down a short barrel with a twist that can only optimize one side of the spectrum, well, it just makes sense to check it out beforehand to be sure keyholing isn't a problem. Also, a damaged crown can cause the bullet to exit funny if the gas doesn't exit uniformly. Some cans that index TDC will actually have an elongated oval hole in the blast baffle, and I can only assume it's to allow the bullet to stabilize if need be in that critical couple inches.
Some bullets take longer to stabilize after leaving the bore, I've heard that about 175gr.SMK .308 @ 100m or less. Don't know how true it is. Then some exit the bore slightly unstable and stabilize rather quickly. The only way to tell if it's unstable at the muzzle is the cardboard test.
I hope that answers your question. Sorry for being long winded, I was trying to explain it so anyone could understand it. There's a lot of misconceptions about the physics of shooting and not everything is intuitive either, sometimes it just makes no damn sense.