The equation y(x,t)=Acos2πf(xv−t) may be written as y(x,t)=Acos[2πλ(x−vt)].

Part A

Use the last expression for y(x,t) to find an expression for the transverse velocity vy of a particle in the string on which the wave travels.

Express your answer in terms of the variables A, v, λ, x, t, and appropriate constants.

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The correct answer does not depend on: νt, πν.

Part B

Find the maximum speed of a particle of the string.

Express your answer in terms of the variables A, v, λ, x, t, and appropriate constants.