vomit vs vomit up

vomit is a noun but vomit up is not a noun.

Word	Noun	Adjective	Verb	Adverb
vomit	Yes	No	Yes	No
vomit up	No	No	Yes	No

As verbs, vomit and vomit up are synonyms defined as:

vomit (noun)	vomit up (noun)
the reflex act of ejecting the contents of the stomach through the mouth
a medicine that induces nausea and vomiting
the matter ejected in vomiting

vomit (verb)	vomit up (verb)
eject the contents of the stomach through the mouth	eject the contents of the stomach through the mouth