A fisherman notices that his boat is moving up and downperiodically, owing to wa

Question

A fisherman notices that his boat is moving up and downperiodically, owing to waves on the surface of the water. It takesa time of 2.30 s for the boat to travel from its highest pointto its lowest, a total distance of 0.670 m. The fisherman seesthat the wave crests are spaced a horizontal distance of5.80 m apart. How fast are the waves traveling? What is the amplitude A of each wave? A fisherman notices that his boat is moving up and downperiodically, owing to waves on the surface of the water. It takesa time of 2.30 s for the boat to travel from its highest pointto its lowest, a total distance of 0.670 m. The fisherman seesthat the wave crests are spaced a horizontal distance of5.80 m apart. How fast are the waves traveling? How fast are the waves traveling? What is the amplitude A of each wave? What is the amplitude A of each wave?

Explanation / Answer

Speed of the wave: Since it takes 2.3 seconds to get from the high to the low, itwould take double that time to get from high to low back to highagain, which is 4.6 seconds. The distance between two peaksis 5.8 meters. Velocity is distance over time: 5.8 m / 4.6 s = 1.26 m/s Amplitude: Amplitude is defined as the distance from the middle of the wave'sheight to the top (or bottom; they are the same). So, thedistance from the top to bottom is 0.670 meters, so we just dividethat by 2: 0.670 / 2 = 0.335 meters

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