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quiz1answerkey - as we know at t=0 and x=0 we are at the...

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Quiz 1 Answer Key Question 1 Answer: B. Find the period T from the second graph (4 seconds). The velocity is given by the statement, "it takes 5 seconds for the wave to travel 10 meters." The velocity is v = 10m/5s = 2m/s. The wavelength L is then L = T*v = (4s)*(2m/s) = 8m/s. Which matches graph B. Question 2 Answer: To the right (Bill's cow). This can be found most easily by seeing that the peak of the y vs x graph at t=0 is at x=1m when t=0.5 seconds, implying that the wave has moved to the right. (If it had moved to the left instead, it would not be at its maximum at x=1m and t=0.5 seconds.) Alternatively, the phase can be found from part 1,
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Unformatted text preview: as we know at t=0 and x=0 we are at the maximum, implying phi=pi/2. Plugging in values for amplitude, period, wavelength, and equilibrium at t=0 and x=1 and comparing either a - or + sign, it can be seen that the - sign will yield the correct value. The minus sign in the equation corresponds to movement to the right. So, Bill's cow's must be sending the signal. Question 3 Answer: y(x,t) = 0.5 meters * sin [ (2 * pi * t / (4 seconds) - 2 * pi * x / (8 meters) + pi/2 ] + 1.6 meters. This equation is obtained by plugging in the information from above....
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