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 0.680 m . The fisherman sees that the wave crests are spaced a horizontal distance of 6.20 m apart.

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

here,

wavelength, lamda = 6.20 m
time peroid, t = 2 * 3 = 6s
Distance of oscillation = 0.680 m

Part A :
Veloity = lamda/ time peroid
v = 6.20 / 6
v = 1.033 m/s

Part B :
AMplitude = Distance of oscillation / 2
A = 0.680 / 2
A = 0.34 m

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