In a ripple-tank experiment a bright crest is photographed as it moves across the water surface. The crest is at x=6.0cm at t=0 and at x=30.0cm at t=0.12s. In a separate stroboscopic photograph taken at an instant t=0.04s, four successive crests occupy positions x=10.0cm and x=26.0cm, the first and the fourth crest respectively.
(i) Using the crest-tracking data, calculate the speed of the wave.
(ii) From the photograph at t=0.04s, determine the wavelength.
(iii) Employing your answers to parts (i) and (ii), find the frequency of the wave.
(iv) If the crest described above has a maximum height of 1.5mm, discuss whether changing this amplitude would affect the wave speed you obtained in part (i).