Duck season has arrived. A Harlequin duck (Histrionicus histrionicus) is bobbing vertically up and down due to a passing water wave. The duck bobs through a total vertical distance of 10.0 cm and completes 7.03 cycles during 10.4 s according to your Mickey Mouse watch. You also note that a particular crest of the wave travels the 8.99 m from the duck to your canoe during 5.05 s.(adsbygoogle = window.adsbygoogle || []).push({});

(a) What is the frequency of the water wave?

Hz

(b) What is the speed of the wave?

m/s

(c) What is the wavelength of the waves?

m

(d) Write a mathematical expression for the wavefunction (x, t) assuming it is a sinusoidal wave with the duck located at the origin for x and at a peak of the wave when t = 0 s.

(x, t) = cos( x - t)

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Please explain as well, don't just calculate. Thanks.

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# Homework Help: This problem is killing me - literally

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