In my opinion, the current way that jumping out of a moving vehicle doesn't look or feel very good. Your character uses the normal animation as if they get out of it while stationary, and then is quickly ragdolled as seen in the following video:

A better example and solution for this is featured in DayZ where the character will actually leap/jump out of the side of the car, and then roll on their side on the asphalt/ground till they come to a stop as seen in a video of WOBO I will use as an example here:

https://youtu.be/rH5twK7U8TQ?t=51

Perhaps some sort of hybrid solution could be found where a proper bail/leap/jump out animation is implemented and the ragdoll kicks in when the character touches the ground. Maybe a type of impulse could be used too to make the character roll, if it doesn't do that by itself.

The animation slots for this already seem present, but are unused as of now: