forward motion vs push

forward motion and push both are nouns.

Word	Noun	Adjective	Verb	Adverb
forward motion	Yes	No	No	No
push	Yes	No	Yes	No

As nouns, push is a hyponym of forward motion; that is, push is a word with a more specific, narrower meaning than forward motion:

Other hyponyms of forward motion include career, life history, march, clear sailing, easy going, plain sailing, leapfrog.

forward motion (noun)	push (noun)
the act of moving forward (as toward a goal)	the act of applying force in order to move something away
	an effort to advance
	an electrical switch operated by pressing
	enterprising or ambitious drive
	the force used in pushing

forward motion (verb)	push (verb)
	make publicity for; try to sell (a product)
	press, drive, or impel (someone) to action or completion of an action
	make strenuous pushing movements during birth to expel the baby
	move with force
	approach a certain age or speed
	press against forcefully without moving
	move strenuously and with effort
	sell or promote the sale of (illegal goods such as drugs)
	strive and make an effort to reach a goal
	exert oneself continuously, vigorously, or obtrusively to gain an end or engage in a crusade for a certain cause or person; be an advocate for