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zjm7290
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Homework Statement
The function y(x, t) = (15.0 cm) cos([tex]\pi[/tex]x - 12[tex]\pi[/tex]t), with x in meters and t in seconds, describes a wave on a taut string. What is the transverse speed for a point on the string at an instant when that point has the displacement y = 12.0 cm?
Homework Equations
I know that the equation of the wave is given above and the max transverse velocity is w*A and the max transverse acceleration is w^2*A and I know how to get the velocity of the wave in the x direction (propagation)
The Attempt at a Solution
I'm not sure where to even start, I think I need to find where 12.0cm is in reference to either distance or time, then I could just plug it into the wave equation, I'm just not sure how to get there. Any help would be greatly appreciated!