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 2.90s for the boat to travel from its highest point to its lowest, a total distance of 0.610m . The fisherman sees that the wave crests are spaced a horizontal distance of 6.50mapart.

Part A

How fast are the waves traveling?

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

Part B

What is the amplitude A of each wave?

Express your answer in meters using three significant figures.

Explanation / Answer

v = f x lamda

lamda = 6.5

f = 1/T

T = 2.9 x 2 = 5.8

v = 6.5 x 5.8 = 37.7 m/s

amplitude = [highest - lowest point] / 2 = 0.610 / 2 = 0.305 m

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