body waste vs vomit

body waste and vomit both are nouns.

Word	Noun	Adjective	Verb	Adverb
body waste	Yes	No	No	No
vomit	Yes	No	Yes	No

As nouns, vomit is a hyponym of body waste; that is, vomit is a word with a more specific, narrower meaning than body waste:

body waste: waste matter (as urine or sweat but especially feces) discharged from the body
vomit: the matter ejected in vomiting

body waste (noun)	vomit (noun)
waste matter (as urine or sweat but especially feces) discharged from the body	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

body waste (verb)	vomit (verb)
	eject the contents of the stomach through the mouth