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 3.00 s for the boat to travel from its highest point to its lowest, a total distance of 0.650 m . The fisherman sees that the wave crests are spaced a horizontal distance of 6.10 m apart

A) How fast are the waves traveling?

Express the speed v in meters per second using three significant figures.

B) What is the amplitude A of each wave?

Express your answer in meters using three significant figures.

Explanation / Answer

A)

speed of the waves is v = lamda/T

lamda = 6.1 m

Time period is T = 2*3 sec = 6 sec

then v = lamda/T = 6.1/6 = 1.02 m/sec

B) amplitude is A = 0.65/2 = 0.325 m

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