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4 December, 01:14

People hoping to travel to other worlds are faced with huge challenges. one of the biggest is the time required for a journey. the nearest star is 4.1*1016m away. suppose you had a spacecraft that could accelerate at 1.0 g for two thirds of a year, then continue at a constant speed. (this is far beyond what can be achieved with any known technology.)

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  1. 4 December, 04:46
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    I think the question here is about the initial velocity. If it is, then the working equation to be used is:

    x = vt + 0.5at²

    where

    x is the distance

    v is the velocity

    t is the time

    a is the acceleration

    The acceleration due to gravity is 1.0g or 1.0 (9.81 m/s²) = 9.81 m/s². There are approximately 3.154*10⁷ seconds in a year.

    4.1*10¹⁶ m = v (2/3 yr * 3.154*10⁷ s/yr) + 0.5 (9.81 m/s²) (2/3 yr * 3.154*10⁷ s/yr) ²

    Solving for v,

    v = 1,846,769,088 m/s
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