Final answer:
The prepositional phrase in the given sentence is 'like a new one'.
Step-by-step explanation:
A prepositional phrase is a group of words that begins with a preposition and ends with a noun, pronoun, or noun phrase which is called the object of the preposition. In the given sentence, the prepositional phrase is 'like a new one', which starts with the preposition 'like' and ends with the noun phrase 'a new one'.
Therefore, the correct answer is D. like a new one.