A fisherman in a row boat notices that one wave crest passes his fishing line every 5 s. He estimates the distance between the crests to be 1.5 m and estimates that the crests of the waves are 0.5 m above the troughs. Using this data, determine the amplitude and speed of the waves.

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Solution

The distance between the two consecutive crest is known as the wavelength of the wave according to given question the wavelength $λ = 1.5 m$
time period of the wave T = 5 s

the relation between the wavelength, velocity of wave and time period is given as $v = \frac{λ}{T} = \frac{1.5}{5} = 0.3 m / s$
As the the perpendicular distance between crest and trough is 0.5 m the amplitude of the wave $A = \frac{0.5}{2} = 0.25 m$

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