Here's why:
* Acceleration is a measure of how quickly an object's velocity changes.
* Apparent acceleration is the acceleration that an observer *perceives* in a non-inertial frame of reference. This means the observer is accelerating themselves, leading to a perceived change in acceleration that might not be the actual acceleration of the object.
Even though the cause of the perceived acceleration might be different (e.g., due to rotation, gravity, etc.), it is still measured in the same units: meters per second squared.