In ENT episode “Divergence” parts go flying off the ship during warp 5. What would happen to something at that speed without the protection of the field? Would it stay in high speed motion until interacted upon by something else (meteoroids/dust/gravitational fields)? Or would it disintegrate under this kind of speed?
Because of the extremely common parlance “drop out of warp” I want to say it implies that the ship keeps moving afterward.
When I run and carry my coffee it is “at warp” but when I stumble and drop it then it is no longer “at warp” but yet it still falls away from the point I dropped it.
But when you drop an abstract there is no implication of movement; when I drop a bad habit it just ceases to exist.
But since the ship still exists after dropping from warp, this is unlikely to be the intended meaning.
Ergo ships drop from warp and that dropping imparts momentum/inertia to ships.