# If the acceleration of a body is constant in a given reference frame, is it necessarily constant...

## Question:

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.

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.