Haha, theres nothing like being a couple of orders of magnitude out BEFORE you start calculating...
The acceleration of the bolt will be very high. Dont be too worried about that.
The amount of time the bolt spends moving is very very tiny.
Remember, the forward stroke time we are talking about here is the time between when you pull the trigger and it going bang, to us it happens in an instant.
Im just looking at the forward motion here.
You cant really derive the bolt speed from the rate of fire, because you do not know how much time is spent with the bolt retracted waiting for a ball to fall in, or forward propelling the paintball.
While on some guns this forward time is very small, its not instantaneous as in your model.
The bolt of course will not have constant acceleration, but it my mind its closer than constant speed(instant acceleration model seems kinda silly).
The moral of this post, is just trust me its 8ms, well it was on my old angel.