Imagine a two starships accelerate to a high sublight speed, say 0.8c, then cut their engines. Since Newtonian physics is a real thing (even if most Star Trek writers ignore it) they'll continue to travel at that same speed and appear motionless relative to each other. But what if a shuttlecraft takes off from one ship and attempts to fly over to the other? On a real-world spaceship without artificial gravity and inertial dampening fields, the stuff inside the ship is moving at the same speed in as the ship itself, so if an auxiliary spacecraft exits the main ship on thrusters it should continue moving along at pretty much the same speed and direction as the parent vessel, and therefore such a maneuver should be possible even if it is a bit tricky.
But on a Star Trek vessel, don't the artificial gravity and inertial dampening fields effectively prevent the stuff inside the ship from "inheriting" its velocity? So if a shuttlecraft exits the ship on thrusters, wouldn't it immediately get left behind as soon as it exits its parent vessel's artificial gravity/inertial dampening fields, since it's only moving at a few meters per second?
But on a Star Trek vessel, don't the artificial gravity and inertial dampening fields effectively prevent the stuff inside the ship from "inheriting" its velocity? So if a shuttlecraft exits the ship on thrusters, wouldn't it immediately get left behind as soon as it exits its parent vessel's artificial gravity/inertial dampening fields, since it's only moving at a few meters per second?