A transverse wave on a string has amplitude 4.0 mm, angular frequency 600 rad/s, and wavenumber 6.0

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A transverse wave on a string has amplitude 4.0 mm, angular frequency 600 rad/s, and wavenumber 6.0 rad/m. 

(a) What is the maximum transverse speed of a point on the string? 

(b) What is the average transverse speed of a point on the string? 

(c) Is the average speed one-half of the maximum? If not, explain why it doesn't have to be.

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