A fisherman notices that his boat is moving up and down periodically without any

Question

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 2.70 s for the boat to travel from its highest point to its lowest, a total distance of 0.680 m. The fisherman sees that the wave crests are spaced a horizontal distance of 6.50 m apart.

How fast are the waves traveling?
Express the speed v in meters per second using three significant figures.

What is the amplitude A of each wave?
Express your answer in meters using three significant figures.

THANK U!

Explanation / Answer

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=2.702s=5.4s . We're also given the wavelength
=6.5m . From the first problem we know that the velocity can be written in terms of
the period and wavelength:
v=/T
= 6.5m/5.4s
=1.2037 m/s
We're also given twice the amplitude in the same statement quoted in part A, so,
A=0.680/2
   =0.340m

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