If you want all the ships to do that you're going to need new code but if you only want one ship to do it TP's post gives me an idea
All you have to do is edit the ships.tbl for that ship to give it a ridiculously high top speed and accelleration. Put the ship in the mission (and limit its speed using cap-waypoint-speed if it's moving). When you want the ship to jump out simply remove the cap by setting it to zero and then give it a waypoint way out in the distance (jump the ship out when it gets there).
Okay it's a rather hackish method of doing it and I'm not 100% certain it would work but it was worth mentioning
It does show however that star trek style warp outs are possible with only minor alterations to the code (or ones we are already getting).
With motion blur, a cap-waypoint speed SEXP that allows higher than table speeds, an altered warpout ani (so it does the little star thing when the ship dissappears) and a few other things rolled into one piece of code a coder could probably fudge star trek warpouts in a few minutes
