skyrocket vs arise

skyrocket is a noun but arise is not a noun.

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

As verbs, arise is a hypernym of skyrocket; that is, arise is a word with a broader meaning than skyrocket:

Other hypernyms of skyrocket include come up, go up, lift, move up, rise, uprise.

skyrocket (noun)	arise (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

skyrocket (verb)	arise (verb)
shoot up abruptly, like a rocket	get up and out of bed
	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