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Google Search R Share More Physics 1 hapter 15816 Spring Break Ass Enhanced Eoc:

ID: 1438986 • Letter: G

Question

Google Search R Share More Physics 1 hapter 15816 Spring Break Ass Enhanced Eoc: Problem 15.21 Enhanced EOC: Problem 15.21 Part A In the deep ocean, a water wave with wavelength What will be the vertical position of the boat 9.0s later? 95 m travels at 12 m/s. Suppose a small boat is at the crest of this wave, 1.3 m above the equilibrium Express your answer to two significant figures and include the appropriate units. position. You may want to review (Da pages 416-480) For general problem solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Earthquake waves Submit My Answers Give Up Incorrect; Try Again; 5 attempts remaining

Explanation / Answer

I'm assuming the water wave is a sine wave here. Since at time 0,

it's at a maximum, the wave height is a cosine function of the form

h = Acos(t) + B where A is the amplitude of the wave and B is the equilibrium height, taken to be 0. A = 1.3 and = 2f where f is the frequency of the wave, f = v/ = 12/95 = 0.1263 Hz (or waves per second).
= 0.7931 radians (4 d.p.) or 0.7931*(180/) = 45.46°.
h = 1.3*cos(0.7931*9) = 1.299 m

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