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25 August, 20:34

Would you be willing to travel to a star 10 light-years away and spend 5 years on the planet orbiting this star before returning home (25 plus years of your life) if you could travel at 99.9% the speed of light both ways? Explain, and be sure to include your calculations to defend your reasoning.

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  1. 25 August, 21:52
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    apparent distance = 0.447 light year

    apparent time = 111.111 years

    Explanation:

    Given data

    distance d = 10 light year

    spend time = 5 years

    travel v = 99.9% of speed light = 0.999c

    to find out

    Would you be willing to travel to a star 10 light-years

    solution

    we can say apparent distance

    d1 = d (√ (1-v²/c²)

    so

    d1 = 10 light year (√ (1 - (0.999c) ²/c²)

    d1 = 10 light year (√ (1 - (0.998)

    d1 = 10 light year (0.045)

    d1 = 0.447 light year

    so apparent time is

    t1 = t / (√ (1-v²/c²)

    t1 = 5 year / 0.045

    t1 = 111.111 years

    so we can say that human age is limited and no object move as like speed of light
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