Explanation : Adverbial accusative is the form of a noun, a pronoun, or an adjective used as adverb, or is connected with, the direct object of a verb. Here 'a minute' is a direct object of verb 'wait' and used as an adverb, hence its an adverbial accusative.
What is an example of a accusative?
Take an example: "I'm gonna hit your face." Here, "your face" is the end or the ultimate goal of my hitting and so it goes into the accusative case. This is the origin of the Direct Object.
What is an example of an adverbial?
An adverbial is a word or group of words that modifies a verb, an adjective, an adverb, or a whole clause. Adverbs (e.g., 'quickly') are one-word adverbials. Adverbial phrases (e.g., 'after dinner') and adverbial clauses (e.g., 'although it's raining') are adverbials formed using multiple words.