Where on a Transverse Wave is Maximum Speed Achieved?

akd28
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Homework Statement


A sinusoidal traveling transverse string wave has a frequency of 10.0 Hz and travels at 25.0m/s along the x-axis. Loacte the points on the string that have maximum speed at any given time.


Homework Equations


I know that v= wavelength / T = wavelength * f

The Attempt at a Solution


I don't actually have to determine the maximum velocity as a number, but instead I have to find the points on a wave drawing that have maximum speed. I have a feeling that the maximum speed would occur on the x-axis at y=0 (so basically the the points between amplitudes). But I don't know if this is correct reasoning or not, can you help??

Thanks!
 
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You are correct.
 
Thanks for your help!
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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