Does a Bullet Speed Up After Being Fired?

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Does a bullet speed up after leaving the gun?
 
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I was driving my van the other day and i noticed that when i pressed the clutch into change to second gear the van seemed to continue accelerrate, with nothing powering it, just for maybe 1 second(or perhaps i imagined it).

That got me thinking about other things like bullets. Also does a cricket ball accelerate away from the bat with nothing pushing it, surely it can't get to it's return speed instantly.
 
In the case of a gun, there's still some pressure just as the bullet leaves the barrel, but this is a very short distance.

Once a ball leaves a bat, golf club, ... it no longer accelerates, and starts decelerating because of drag immediately.

In the case of a van, the suspension relaxing after acceleration mave give a rider a sense of continued acceleration, but the center of mass isn't accelerating. Sometimes the lack of deceleration force felt when braking then releasing the brakes, and car body pitch can give a false sense of acceleration as well.