Please solve question in this picture.Answer is option (d)
![](https://hi-static.z-dn.net/files/d12/3ed116d4f63dc2c50818af857212a29b.jpg)
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!!
![](https://hi-static.z-dn.net/files/d9c/3d9966c9b2d03cde86008efdd41bbea9.png)
![](https://hi-static.z-dn.net/files/ddd/dd6def510ce80da62c427c7ab40c829b.jpg)
Answer:
Correct answer is option(d). And for checking you can apply in all the sutuation comes.
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![](https://hi-static.z-dn.net/files/d7a/f5d796a14316ea741870a8be7d00db5c.jpg)
![](https://hi-static.z-dn.net/files/d17/9d91691116a957281bf2946edf23adbd.jpg)