A wave passes the dock every 5 seconds and reaches a height of .5 meters and a wavelength of 2 meters. find the wavespeed

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We don't care about the height of the wave. We're only interested in its period and wavelength, because wave speed is the product of frequency and wavelength . Period = 5 seconds Frequency = 1/period = 1/5sec = 0.2/sec = 0.2 Hz. Speed = (frequency) x (wavelength) = (0.2 Hz) x (2 m) = 0.4 m/s .

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