If the displacement of a tight string is represented by
Determine an expression for the velocity vy at which a section of the string travels. What is the maximum value of Vy? 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 Vy = -A(2∏/λ)vsin((2∏/λ)(x-vt))
I then said that Vy 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.