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## Homework Statement

If the displacement of a tight string is represented by

y(x,t)= Acos(2∏/λ(x-vt))

Determine an expression for the velocity v

_{y}at which a section of the string travels. What is the maximum value of V

_{y}? When is this maximum value greater than the wave propagation speed v?

## The Attempt at a Solution

I started by differentiating the equation to get V

_{y}= -A(2∏/λ)vsin((2∏/λ)(x-vt))

I then said that V

_{y}would reach a maximum when sin((2∏/λ)(x-vt)) = 1 but I don't think this is right. Any help would be appreciated. Thank you.