A rocket is fired vertically with a speed half of the escape speed ...

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A rocket is fired vertically with a speed half of the escape speed from the earth's surface. How far from the earth does the rocket go before returning to the earth?
[Given mean radius of earth is \( R \) ]
(1) \( R / 3 \) from earth's centre
(2) \( 4 R / 3 \) from the earth's surface
(3) \( 4 R / 3 \) from the earth's centre
(4) \( 7 R / 3 \) from the earth's surface
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