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A wave problem

  1. Jul 29, 2010 #1
    1. The problem statement, all variables and given/known data

    y(x,t) = 3e-(2x-4t)^2

    Consider the wave function which represents a transverse pulse that travels on a string along the horizontal x-axis.

    a) Find the wave speed
    b) Find the velocity of the string at x=0 as a function of time

    2. Relevant equations

    3. The attempt at a solution

    I think, for b) I should take the derivative of the original wave function with respect to t.
    Easy if that's the case.

    I have no idea about part a.
     
  2. jcsd
  3. Jul 29, 2010 #2
  4. Jul 29, 2010 #3
    Wow, thanks merry. I completely forgot about the linear wave equation.

    And is my solution for part b correct? (Taking the derivative of the function with respect to time to find the string velocity function)
     
  5. Jul 29, 2010 #4
    I would say so. At x = 0 that wave function gives Y position as a function of time, so its time derivative would be the rate of change of the Y position.
     
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