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Question: If a rocket is fired with a speed v = ![](https://cdn.pureessence.tech/canvas_78.png?top_left_x=900&...

If a rocket is fired with a speed v = near the earth's surface and coasts upwards, its speed in the interstellar space is –

A

B

C

D

Answer

Explanation

Solution

According to law of conservation of energy

12\frac { 1 } { 2 } mv2 + 0

12\frac { 1 } { 2 } 12\frac { 1 } { 2 } mv2

v12\mathrm { v } _ { 1 } ^ { 2 } = v2 = v2 – ve2

v1 = v2ve2\sqrt { v ^ { 2 } - v _ { e } ^ { 2 } } = =