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A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water. It takes a time of 2.10s for the boat to travel from its highest point to its lowest, a total distance of 0.600m . The fisherman sees that the wave crests are spaced a horizontal distance of 6.50m apart

A. How fast are the waves traveling?

B. What is the amplitude A of each wave?

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We're give the time it takes to move through a half of the period (�from its highest point

to its lowest�) so we know that T=2.10?2s=4.20s . We're also given the wavelength

?=5.50m . From the first problem we know that the velocity can be written in terms of

the period and wavelength:

v=lambda/t = 6.50m/4.20 =1.547 m/s

B) What is the amplitude A of each wave?

We're also given twice the amplitude in the same statement quoted in part A, so

A = 0.600/2 =300m

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