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Waves: Analysis/Speed of Disturbance

  1. Nov 4, 2009 #1
    1. The problem statement, all variables and given/known data
    A disturbance can be written as: y(x,t)= (e-(x/b)2e2xt/be-t2)a

    This disturbance is:
    (A) not a traveling wave
    (B) a traveling wave with speed v = a
    (C) a traveling wave with speed v = a/b
    (D) a traveling wave with speed v = b


    2. Relevant equations
    y(x,0) = f(tx)
    y(x,t) = f'(x) = f(x-vt)
    [tex]\partial[/tex]2f = 1[tex] /[/tex]v2 [tex]\partial[/tex]2y[tex]/[/tex]dt2
    dz2



    3. The attempt at a solution
    We haven't really dealt with waves using e, and I'm not quite sure exactly how to attack this problem: plug it into the wave equation, trying to simplify to equate what's in the parenthesis to compare with x-vt, etc., so I'm a touch lost overall in trying to attack this problem.
     
  2. jcsd
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