You are the chief scientist of a crew tasked with travelling to a recently found habitable...

You

are the chief scientist of a crew tasked with travelling to a recently found habitable planet and setting up a colony there for sustained human life. This journey starts on a rocket fired from rest on a deep-space platform, where gravity is negligible. The rocket’s initial acceleration is 20.0 m/s2, it ejects burned fuel at a constant rate, and it ejects 1/12,000 of its initial mass ?0 in the first second. To arrive at the distant target planet in a timely manner, you need the rocket’s speed to reach 1.50 × 10−3?, where ? is the speed of light (3.00 × 108 m/s). What must the mass ratio ??/? be of the rocket in order to achieve this

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