rapid growth vs rising

rapid growth and rising both are nouns.

Word	Noun	Adjective	Verb	Adverb
rapid growth	Yes	No	No	No
rising	Yes	Yes	No	No

As nouns, rising is a hypernym of rapid growth; that is, rising is a word with a broader meaning than rapid growth:

Other hypernyms of rapid growth include ascension, ascent, rise.

rapid growth (noun)	rising (noun)
a rapid rise	organized opposition to authority; a conflict in which one faction tries to wrest control from another
	a movement upward; rise above the ground

rapid growth (adjective)	rising (adjective)
	advancing or becoming higher or greater in degree or value or status
	sloping upward
	coming to maturity
	newly come into prominence