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Motion Along a Straight Line

  1. Oct 10, 2015 #1
    1. The problem statement, all variables and given/known data
    Could you help me with this one?

    "In a particle accelerator, an electron enters a region in which it accelerates uniformly in a straight line from a speed of ##4.00x10^5## m/s to a speed of ##6.00x10^7## m/s in a distance of 3.00 cm. For what time interval does the electron accelerate?''

    2. Relevant equations
    ##x-x_0=1/2(v+v_0)t##


    3. The attempt at a solution
    ##x-x_0=0.03m##, ##(v+v_0)=604.10^5## so ##0.06m=604.10^5t##
    t=0.06/604.10^5)
    t=0.0000993377.10-5s = 9.9.10-10 s
    the answer is 9.38ns whiich its 9.38.10-9 s
    Where I am making wrong
     
  2. jcsd
  3. Oct 10, 2015 #2

    vela

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    Your calculation looks fine to me. Perhaps there's a typo in the problem.
     
  4. Oct 10, 2015 #3
    maybe ??
     
  5. Oct 11, 2015 #4

    haruspex

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    The given answer corresponds to an acceleration up to 6x106 m/s.
     
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