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 IS (d). BUT HOW IS THIS ?

Hi,

The acceleration of a particle as seen from frame S1 has magnitude 4m/s²

This means that the origin of the frame of reference S₁, O₁, is moving with an acceleration of 4m/s² with respect to the frame of reference attached to the particle

Similar is the case of the origin of the Frame of Reference S₂, O₂.

Hence you can easily deduce that the acceleration of S2 with respect to S1 is anywhere between  0 and 8m/s² depending on the direction of the respective acceleration

Regards,

Rajat

Askiitians Expert