arise vs skyrocket

arise is not a noun while skyrocket is a noun.

Word	Noun	Adjective	Verb	Adverb
arise	No	No	Yes	No
skyrocket	Yes	No	Yes	No

As verbs, skyrocket is a hyponym of arise; that is, skyrocket is a word with a more specific, narrower meaning than arise:

arise (noun)	skyrocket (noun)
	sends a firework display high into the sky
	propels bright light high in the sky, or used to propel a lifesaving line or harpoon

arise (verb)	skyrocket (verb)
get up and out of bed	shoot up abruptly, like a rocket
result or issue
rise to one's feet
move upward
take part in a rebellion; renounce a former allegiance
come into existence; take on form or shape
originate or come into being