A particle appears to be at rest when observed from a frame S₁ , and it travels with a constant velocity when viewed from another frame S₂ . Identify the valid possibilities.

Step-by-step solution

Let the velocity of the particle with respect to frame S₁ be v ₁ and with respect to frame S₂ be v ₂ . Given that the particle is at rest in S₁ , we have v ₁ = 0 . Thus, its acceleration in S₁ is a ₁ = 0 . The particle travels with a constant velocity in S₂ , so v ₂ = constant . Thus, its acceleration in S₂ is a ₂ = 0 . The acceleration of the particle with respect to S₁ is a ₁ = a _p - a _ S1 = 0 , which implies a _p = a _ S1 . The acceleration of the particle with respect to S₂ is a ₂ = a _p - a _ S2 = 0 , which