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Velocity required to reach star in 10 onboard years

  1. Feb 3, 2010 #1
    1. The problem statement, all variables and given/known data

    You wish to travel to the Pleiades (at a distance of 130 pc) in 10 years, according to the clock
    that you carry. How fast do you have to travel to accomplish this (express the velocity as a
    fraction of speed of light, v/c)?

    2. Relevant equations

    [tex]
    \Delta T = \gamma \Delta T_0
    [/tex]

    3. The attempt at a solution

    I've been stuck on this for hours, and I really don't know how I'm supposed to set this up. If someone could just help me set it up, I can do all the calculations myself.
     
  2. jcsd
  3. Feb 3, 2010 #2

    ideasrule

    User Avatar
    Homework Helper

    d=vt. You know t=10 years. d can be found via the length contraction formula: to an onboard observer, the distance to the Pleiades seems contracted by a factor of gamma.
     
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