Sorry for the delayed reply.
As I wrote earlier, the slower bullet travels down the barrel slower, but the velocity of the muzzle rise is correspondingly slower too, so for any given bullet weight (and gun mass and barrel length), the muzzle will rise the same distance, regardless of bullet velocity.
If it's confusing, let's consider an example...a 4" 42oz S&W 686 firing 158gr and 125 grain bullets, at both standard velocity (750fps) and magnum velocity (1200fps). Dump the data into a
recoil calculator (since we're not considering the effects of different powder mass, assume 6gr of powder for all loads), and check out the recoil velocity in FPS. It's correspondingly lower for the slower rounds.
Now use the approximate barrel dwell time to calculate the distance the gun travels while the bullet's in the barrel. You'll see there's more time to travel, but the velocity is lower, so the net distance is the same for the fast and slow round for both the 125 and 158gr bullet. You'll also see the gun travels farther when shooting the heavier bullet, which is why a heavier bullet hits higher, and why it's because it's heavier, and not because it's faster or slower.
158gr bullet:
..................fps......dwell time (msec).......recoil velocity (fps)..........recoil distance (inches)
Fast.........1200
............0.28
.........................11.7
.....................................0.04 (=0.00028 x 11.7 x 12)
Slow.........750
.............0.44
...........................7.8
.....................................0.04
125gr bullet:
..................fps......dwell time (msec).......recoil velocity (fps)..........recoil distance (inches)
Fast.........1200
............0.28
...........................9.5
.....................................0.03
Slow.........750
.............0.44
...........................6.4
.....................................0.03
EDIT: As I noted, for simplicity, and to look solely at
bullet weight, I ignored differences in powder charge in the above example. For any particular bullet, though, the faster bullet will obviously have more powder behind it, so the mass of the
ejecta (bullet + powder) is greater than that of the slower bullet, and the bullet will hit higher. IOW, a fast 125 ought to hit higher than a slow 125, but again, it's not because of the velocity and bullet dwell time,
per se, but because of mass (the total mass of the fast 158 being greater).