Suppose you are on a boat at rest in a shallow lake, observing the crests of a passing sinusoidal wave. You estimate that the crest are 80m apart and the speed of the wave is 10m/s.

a) Approximately how much time elapses between one crest reaching your boat and the next?

b) You start the engine and sail directly opposite the motion of the waves at 4.5m/s. Now how much time elapses between one crest reaching your boat and the next?

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