Please solve question in this picture.Answer is option (d)
Answers
Let us assume that the particle is at rest.
Now, Let me solve this problem in 3 cases as depicted in the attachment below:
CASE 1:
When both S₁ and S₂ move in the same direction with an acceleration 4m/s². Here, the Relative acceleration ( .i.e, acceleration of S₂ with respect to S₁ as given in the options) between S₁ and S₂ is zero.
CASE 2:
When both S₁ and S₂ move in opposite directions, each with an acceleration of 4m/s². Here, the acceleration of S₂ with respect to S₁ becomes 8 m/s.
CASE 3:
In this case, both S₁ and S₂ are moving with an acceleration of 4m/s² but in directions other then the above ones. Here, depending on the angle between the acceleration vectors (or simply the angle between their direction of propagation), the acceleration of S₂ with respect to S₁ varies from 0 to 8 excluding both.
Please follow the attachment simultaneously... ↓↓
Hope it helps!!
Answer: