A crest on a sinusoidal wave moving along a taut wire is located at x=1.20m at t=0 and at x=1.50m at t=0.020s. The distance between this crest and the nearest trough is measured to be 0.40m, and the maximum displacement of the wire is 3.0cm.
(i) Determine the wavelength of the wave.
(ii) Calculate the frequency of the wave.
(iii) Write a possible mathematical equation for the travelling wave, taking displacements in centimetres.
(iv) Using your results, draw the displacement–position graph of the wave at t=0.030s for the region 1.0m≤x≤1.8m.