
#1
Dec810, 09:28 PM

P: 16

A transvers wave pulse travels to the right (+x direction) along a string with a speed v=3m/s. At t=0, the shape of the pulse has the form:
f(x)=Ae^(x^2/b^2), where A=3m and b=2m. a) Plot the variation of f(x) with x at t=0. b) What will the mathematical description of the pulse as a function of time, f(x,t), assuming that the pulse moves without changing its shape. c)Sketch the profile of the wave pulse at t=2s. I'm guessing the position with time is dependant on the velocity, but I'm totally confused at what the variation will even look like, as i've never come across an exponential to x^2 function before. Thanks for looking. 


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