Final answer:
Appurtenances are items associated with a property, and improvements can fall into this category. Privilege, acceleration, and personal property are not appurtenances.
Step-by-step explanation:
Appurtenances refers to items or objects that are considered to be attached to or associated with a property, typically real estate. Out of the given options, improvement can fall into the category of appurtenances. An improvement is a permanent addition or alteration made to a property that increases its value, such as building a pool or adding an extra room to a house.
Privilege, acceleration, and personal property are not appurtenances. A privilege refers to a special advantage or right granted to an individual, such as a license or permission. Acceleration is the action of increasing the speed or rate of something. Personal property refers to objects that are moveable or not permanently attached to a property, such as furniture or electronics.