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12 March, 08:47

Astronaut rachel leaves earth in a spaceship at a speed of 0.960c relative to an observer on earth. rachel's destination is a star system 14.4 light-years away (one light-year is the distance light travels in one year). according to rachel, how long does the trip take?

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  1. 12 March, 09:16
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    Utilizing Lorentz factor;

    Lorentz factor = Sqrt (1-u^2/c^2), where u = initial velocity, c = speed of light

    But, u/c = 0.960

    Therefore,

    Lorentz factor = Sqrt (1-0.960^2) = 0.28

    For an observer,

    t = (Distance to the star*Lorentz factor) / (u/c) = (14.4*0.28) / 0.96 = 4.2 years
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