vomit up vs eliminate

vomit up and eliminate both are verbs.

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

As verbs, eliminate is a hypernym of vomit up; that is, eliminate is a word with a broader meaning than vomit up:

Other hypernyms of vomit up include egest, excrete, pass.

vomit up (verb)	eliminate (verb)
eject the contents of the stomach through the mouth	eliminate from the body
	kill in large numbers
	terminate, end, or take out
	remove (an unknown variable) from two or more equations
	dismiss from consideration or a contest
	remove from a contest or race
	get rid of something