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Free Fall/Constant Acceleration Problem

  1. Nov 10, 2009 #1
    1. The problem statement, all variables and given/known data
    A rocket ship in free space travels with a constant acceleration equal to 9.8m/s^s.
    a)If it starts from rest how long does it take to reach a velocity of one tenth of the speed of light? Note: The speed of light in a vacuum is 3.0 x 10^8 m/s.
    b)How far will it travel during this time?


    2. Relevant equations
    V=Vo+at
    X=Xo+Vot+(1/2)(a)(t)


    3. The attempt at a solution
    I started with making a variable list:
    a=9.8 t=?
    Vo=0 Xo=0
    V=30,000,000 X=?

    I plugged these values into the equation I mentioned in # 2.
    The answers I got are:
    a) 3061224.49sec
    b)4.59 x 10^13
    I wasn't sure how to do this and gave it a shot. Could you please explain.
    Thanks!
     
  2. jcsd
  3. Nov 10, 2009 #2

    Doc Al

    User Avatar

    Staff: Mentor

    Your method is fine, but be careful with decimal points. Your answer for (a) is off by a factor of 10, making (b) off by a factor of 100.
     
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