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A 4.5-Hz wave with an amplitude of 12 cm and a wavelength of 27 cm travels along a stretched horizontal string.

a) How far does a given peak on the wave travel in a time interval of 0.50 s?
b) How far does a knot on the string travel in the same time interval?
c) How would your answers to parts a and b change if the amplitude of the wave were halved? Explain.