Wave Problem

  1. Oct 13, 2010 #1
    1. The problem statement, all variables and given/known data
    A water wave traveling in a straight line on a lake is described by the equation

    y(x,t) = (3.75cm)cos(0.450cm-1x + 5.40s-1t)

    where y is the displacement perpendicular to the undisturbed surface of the lake.

    What is the maximum speed of his cork floater as the wave causes it to bob up and down?

    3. The attempt at a solution

    T = (2pi)/5.4
    T = 1.16 seconds

    Maximum velocity = |(a/T)|
    Maximum velocity = |(0.0375/1.16)|
    Maximum velocity = 0.0323 m/s

    This answer is not correct. Can someone show me where I went wrong?
  2. jcsd
  3. Oct 13, 2010 #2
    That is the average velocity over a period. How can you find the instantaneous velocity for any location x and time t?
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