Kashmiri Pandit
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As for the first part, (5:00+) Adam who is travelling at 'c' will feel no change in his clock but Sara who is stationary will see Adam's clock to slow down. So, Adam's perception of his time and Sara's perception of Adam's time would differ. Now this was from Sara's perspective. If you start to think from Adam's perspective, opposite would be the case.
I hope it should be clear by now
(12:00+) This is because Adam's perception of him was, he was at rest before he fired his rockets. So, it's the Universe which is accelerating in the opposite direction because of the "gravitational force". And since the rocket still didn't move, that means rocket balanced this sudden gravitational force which effected the rest of the universe.
Is it fine ?
I hope so