peak vs arrive at

peak is a noun but arrive at is not a noun.

Word	Noun	Adjective	Verb	Adverb
peak	Yes	No	Yes	No
arrive at	No	No	Yes	No

As verbs, arrive at is a hypernym of peak; that is, arrive at is a word with a broader meaning than peak:

Other hypernyms of peak include attain, gain, hit, make, reach.

peak (noun)	arrive at (noun)
a brim that projects to the front to shade the eyes
the top or extreme point of something (usually a mountain or hill)
the highest point (of something)
the most extreme possible amount or value
a V shape
the highest level or degree attainable; the highest stage of development
the period of greatest prosperity or productivity

peak (verb)	arrive at (verb)
to reach the highest point; attain maximum intensity, activity	reach a destination, either real or abstract