purposely vs deliberately

purposely and deliberately both are adverbs.

Word	Noun	Adjective	Verb	Adverb
purposely	No	No	No	Yes
deliberately	No	No	No	Yes

As adverbs, purposely and deliberately are synonyms defined as:

Other synonyms of purposely include advisedly, by choice, by design, designedly, intentionally, on purpose.

purposely (adverb)	deliberately (adverb)
with intention; in an intentional manner	with intention; in an intentional manner
	in a deliberate unhurried manner