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Time dilation years of trip

  1. Feb 22, 2016 #1
    1. The problem statement, all variables and given/known data
    Suppose you decide to travel to a star 65 light-years away at a speed that tells you the distance is only 25 light-years. How many years would it take you to make the trip?

    2. Relevant equations
    ∆t=∆t0/(√ (1−v2/c2 )) / ∆t0 = ∆t √(1−v2/c2)
    L=L0√ (1−v2/c2)

    3. The attempt at a solution
    I've attempted to use the length contraction equation to find the velocity (v=c√(1-(25/65)^2) but when I plug that into the time dilation equation I don't get the correct answer. I get 25 when the answer should be 27. Where am I going wrong?
  2. jcsd
  3. Feb 22, 2016 #2


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    If you know the distance in your frame and the velocity in your frame, what do you need time dilation for?
  4. Feb 22, 2016 #3
    I don't. I wasn't thinking that light years is also a distance because I looking at an example for the problem that combined the two equations (length contraction & time dilation) which threw me off. It's basically t=d/v after you figure out velocity right?
  5. Feb 22, 2016 #4


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