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Spaceship calculus problem

  1. Jul 23, 2009 #1
    if a spaceship accelerates, from rest at time t=0, at a rate of 2t / sqrt(1 + t2) ms-2 at time t, calculate in years to 1 significant figure how long it would take to reach the speed of light 3x108 ms-1?

    i got an answer of 5 years, is this correct, but i have made a mess of my workings, what is the best way to answer this question in the shortest time period?

    many thanks
  2. jcsd
  3. Jul 23, 2009 #2


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    Re: calculus

    How did you work it out? It's pretty straightforward, isn't it?
  4. Jul 23, 2009 #3
    Re: calculus

    This is a very straight forward problem.

    All you need to know is that you get a velocity when you integrate acceleration respect to time.

    After that, it's all algebra. plug-in, and solve for t.
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