If the acceleration of a body is constant in a given reference frame, is it necessarily constant in all other reference frames?
Inertial and Non-inertial Reference Frame:
A frame of reference is a system of co-ordinates that is chosen by an observer according his or her convenience.
A reference frame whose velocity is constant is called inertial reference frame.
A reference frame whose velocity is not constant is called non-inertial reference frame.
Answer and Explanation:
Let us consider two reference frames, frame A and frame B and these reference frames are accelerating with each other.
Now, if an object is moving at constant velocity with respect to frame A then, it is accelerating with respect to frame B.
So, the acceleration of the object with respect to frame A is zero and with respect to the frame B is other than zero. But in both cases, the acceleration is constant.
Therefore, if the acceleration of a body is constant in a given reference frame, it is necessarily constant in all other reference frames.
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from General Studies Science: Help & ReviewChapter 4 / Lesson 12