Question

Can you answer this question of physics?

The acceleration of a particle as seen from two frames S1 & S2 have equal magnitude 4m/s^2.

(a) The frames must be at rest with respect to each other.

(b) The frames may be moving with respect to each other but neither should be accelerated with respect to each other.

(c) The acceleration of S2 with respect to S1 may either be 0 or 8m/s^2.

(d) The acceleration of S2 with respect to S1 may be anything between 0 and 8m/s^2.

The answer can be one or multi correct.

Answer 1

It is given that the acceleration `veca_1` of a particle as seen from frame of reference `S_1` has magnitude `=4\ ms^-2`

`=>` that the origin `O_1` of the frame of reference `S_1` is moving with an acceleration having magnitude `=4\ ms^-2` with respect to the frame of reference attached to the particle

Similarly, origin `O_2` of the frame of reference `S_2` is moving with an acceleration having magnitude `=4\ ms^-2` with respect to the frame of reference attached to the particle

Hence, we deduce that the acceleration of frame `S_2` with respect to `S_1` would be vector addition of two accelerations.

Which is anywhere between `0 and 8\ ms^-2` depending on the direction of the respective accelerations.