push up vs jut

push up is not a noun while jut is a noun.

Word	Noun	Adjective	Verb	Adverb
push up	No	No	Yes	No
jut	Yes	No	Yes	No

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

Other hypernyms of push up include jut out, project, protrude, stick out.

push up (noun)	jut (noun)
	the act of projecting out from something
	something that bulges out or is protuberant or projects from its surroundings

push up (verb)	jut (verb)
push upward	extend out or project in space
push from beneath
push violently in a specified direction