- #1
sarvensogo
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Homework Statement
[tex]\Psi(y,t)=A\cos^22\pi(t-y) [/tex]
Show that this is a traveling wave. Use the general form of a traveling wave to determine its speed and direction.
Verify your answer using [tex]\frac{-\partial \Psi / \partial t}{\partial \Psi / \partial x}[/tex]
Homework Equations
The general form of a traveling wave from class is [tex]\Psi(x,t)=f(x-vt)[/tex].
The Attempt at a Solution
So I tried to just use the form of the traveling wave, but the thing that confused me was whether or not I had to switch around the order of (t-y) in the equation to (-y+t)? If I leave it as is I get that the speed (v) is -1, but if I change the equation to read (-y+t) the speed becomes 1 instead. Either way using the partial derivative equation verifies my answer. I can post my handwritten work if neccesary for proof that I attempted it.
Thanks