rapid climb vs rising

rapid climb and rising both are nouns.

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

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

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

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