Water waves from a source far to the left (not shown) travel in the rightward direction and disturb the height of the water by a maximum displacement A from the equilibrium level (dashed line). Mo the Marmot sits on a boat, which goes up and down as the traveling harmonic water wave passes by. Figure 1 shows a snapshot of this at some time. Figure 2 shows measurements of the vertical displacement from equilibrium, y, of Mo's boat as a function of time, which he recorded with his ioLab device. Figure 1 Figure 2 height [meters] y (meters] wave propagation direction A I [seconds] -4 -50 40 -30 -20 -10 10 20 x [meters] What is the speed of the wave propagation? 60 m/s 1.1 m/s 6.7 m/s 42 m/s 260 m/s Which of the following equations best describes the displacement of the water surface from equilibrium, y, at a position a and a time t? O y(x, t) = – A cos(kx – wt – ø) O y(r, t) = – A cos(kx + wt + 4) O y(x, t) = A cos(kx + wt)

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Water waves from a source far to the left (not shown) travel in the rightward direction and disturb the height of the
water by a maximum displacement A from the equilibrium level (dashed line). Mo the Marmot sits on a boat, which goes
up and down as the traveling harmonic water wave passes by. Figure 1 shows a snapshot of this at some time. Figure 2
shows measurements of the vertical displacement from equilibrium, y, of Mo's boat as a function of time, which he
recorded with his ioLab device.
Figure 1
Figure 2
height [meters]
y (meters)
wave
propagation direction
At
I (seconds]
2
3
4
-50
-40
-30
-20
-10
10
20
x (meters]
What is the speed of the wave propagation?
60 m/s
1.1 m/s
6.7 m/s
42 m/s
260 m/s
Which of the following equations best describes the displacement of the water surface from equilibrium, y, at a
position a and a time t?
y(x, t) = -A cos(kx – wt – 4)
y(x, t) = -A cos(kx + wt + 4)
%3D
O y(x,t)
= A cos(kæ + wt)
Transcribed Image Text:Water waves from a source far to the left (not shown) travel in the rightward direction and disturb the height of the water by a maximum displacement A from the equilibrium level (dashed line). Mo the Marmot sits on a boat, which goes up and down as the traveling harmonic water wave passes by. Figure 1 shows a snapshot of this at some time. Figure 2 shows measurements of the vertical displacement from equilibrium, y, of Mo's boat as a function of time, which he recorded with his ioLab device. Figure 1 Figure 2 height [meters] y (meters) wave propagation direction At I (seconds] 2 3 4 -50 -40 -30 -20 -10 10 20 x (meters] What is the speed of the wave propagation? 60 m/s 1.1 m/s 6.7 m/s 42 m/s 260 m/s Which of the following equations best describes the displacement of the water surface from equilibrium, y, at a position a and a time t? y(x, t) = -A cos(kx – wt – 4) y(x, t) = -A cos(kx + wt + 4) %3D O y(x,t) = A cos(kæ + wt)
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