rising vs rapid climb

rising and rapid climb both are nouns.

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

As nouns, rapid climb is a hyponym of rising; that is, rapid climb is a word with a more specific, narrower meaning than rising:

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

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