Final answer:
The SI unit for centripetal acceleration is indeed m/s², which is true for all types of acceleration as it represents the rate of change of velocity with time.
Step-by-step explanation:
The statement that the SI unit for centripetal acceleration is m/s² is A. True. Acceleration, including centripetal acceleration, is the rate at which velocity changes over time. Since velocity is measured in meters per second (m/s) and time in seconds (s), acceleration is expressed as meters per second squared (m/s²). This same unit applies to any form of acceleration, regardless of whether the change in velocity is due to a change in speed or direction. Specifically, centripetal acceleration is the acceleration that acts on an object moving in a circular path, directing it towards the center of rotation.
Moreover, centripetal acceleration is a vector quantity because it has both a magnitude and a direction: it always points towards the center of the circle (the center of rotation) and is perpendicular to the object's linear velocity. The formula for calculating centripetal acceleration (a) when an object of speed v moves along a path with a radius r is a = v²/r.