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A guitar string lies along the x-axis when in equilibrium. The end of the string at...

A guitar string lies along the x-axis when in equilibrium. The end of the string at x = 0 is fixed. A sinusoidal wave with amplitude 0.75mm and frequency 440Hz, travels along the string in x-direction at 143m/s. It is reflected from the fixed end, and the superposition of the incident and reflected waves forms a standing wave.

(a) Find the equation giving the displacement of a point on the string as a function of position and time.

(b) Locate the nodes and antinodes.

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