acknowledgment vs acceptance

acknowledgment and acceptance both are nouns.

Word	Noun	Adjective	Verb	Adverb
acknowledgment	Yes	No	No	No
acceptance	Yes	No	No	No

As nouns, acceptance is a hypernym of acknowledgment; that is, acceptance is a word with a broader meaning than acknowledgment:

acknowledgment (noun)	acceptance (noun)
a statement acknowledging something or someone	the act of accepting with approval; favorable reception
a short note recognizing a source of information or of a quoted passage	the act of taking something that is offered
the state or quality of being recognized or acknowledged	a disposition to tolerate or accept people or situations
	the mental attitude that something is believable and should be accepted as true
	(contract law) words signifying consent to the terms of an offer (thereby creating a contract)
	a time draft drawn on and accepted by a bank
	the state of being acceptable and accepted