Ocean waves with a wavelength of 8.5 m and velocity v = 1.20 m/s can be modeled using the equation shown, y(x, t) = (0.67 m) sin [(0.739 m-¹)(x - vt)]. Note that x and y are in meters and t is in seconds. (a) Choose the graph of y(x, t) at t = 0.
Ocean waves with a wavelength of 8.5 m and velocity v = 1.20 m/s can be modeled using the equation shown, y(x, t) = (0.67 m) sin [(0.739 m-¹)(x - vt)]. Note that x and y are in meters and t is in seconds. (a) Choose the graph of y(x, t) at t = 0.
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Transcribed Image Text:(b) Choose the graph of y(x, t) at t = 2.00 s.
y (m)
y (m)
y (m)
10
0.6
0.4
0.6
5
0.4
0.2
AA-MM-M
0.2
x (m)
5
x (m)
10
15
5
10
-0.2
-0.2
-0.4
-0.6
-0.4
0-10
-0.6
y (m)
0.
0.4
0.2
A
15
-0.2
-0.46
-0.6
O
(c) How has the wave moved between graph (a) and graph (b)?
O The wave has traveled 2.40 m to the left.
O The wave has traveled 2.40 m to the right.
O The wave has traveled 2.00 m to the right.
O The wave has traveled 2.00 m to the left.
x (m)
x (m)
G
![Ocean waves with a wavelength of 8.5 m and velocity v = 1.20 m/s can be modeled using the equation shown,
y(x, t) = (0.67 m) sin [(0.739 m-¹)(x
-
(x - vt)].
Note that x and y are in meters and t is in seconds.
(a) Choose the graph of y(x, t) at t = 0.
y (m)
y (m)
10
0.6
0.4
5
0.2
A
W
10
15
-0.2
-0.4
-0.6
*
y (m)
0.6
0.4
0.2
x (m)
10/
-0.2
-0.4
-0.6
O
In this case, t = 0. Find the graph of the function y(x, t) = (0.67m) sin((0.739m-¹)x].
.....:
10
15
x (m)
0-10
x (m)
O
y (m)
0.6
0.4
0.2
-0.2
-0.4
-0.6
5
A
15
x (m)
Q](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f95aca6-e279-499b-bb74-3afae1a19fc6%2F1f442a3e-4a54-436b-9c9a-9f1953f98820%2F06fhytl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Ocean waves with a wavelength of 8.5 m and velocity v = 1.20 m/s can be modeled using the equation shown,
y(x, t) = (0.67 m) sin [(0.739 m-¹)(x
-
(x - vt)].
Note that x and y are in meters and t is in seconds.
(a) Choose the graph of y(x, t) at t = 0.
y (m)
y (m)
10
0.6
0.4
5
0.2
A
W
10
15
-0.2
-0.4
-0.6
*
y (m)
0.6
0.4
0.2
x (m)
10/
-0.2
-0.4
-0.6
O
In this case, t = 0. Find the graph of the function y(x, t) = (0.67m) sin((0.739m-¹)x].
.....:
10
15
x (m)
0-10
x (m)
O
y (m)
0.6
0.4
0.2
-0.2
-0.4
-0.6
5
A
15
x (m)
Q
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