Ripples produced on the surface of a pond have wavelength 0.40m and travel with a speed of 0.80ms−1. A small floating cork is 7.1m away from the point where a crest is generated at t=0.
(a) Calculate the time taken for this crest to reach the cork.
(b) Determine the total number of complete crests that pass the cork during this time. Express your answer as an integer plus any fractional part of a cycle.
(c) If the amplitude of the ripples is 1.5cm, how many times does the cork attain its maximum upward displacement before the arrival of the specified crest?