1. A rubber ducky (located at x = 0 m) floats ona lake and bobs up and down due to onedimensional water waves. Shown to the rightare a y(t) graph that depicts the verticaldisplacement of rubber ducky as a function oftime and a y(x) graph that depicts the waterwave as a function of position at the timet = 0 s and.\y (in cm)at x=03t (in s)3-2-3y (in cm)at t=0a. Explain how the y vs. t graph tellswhether this wave is moving to the rightor to the left.you32 +1 +x (in m)23-2 +-3+b. Write out the equation of motion y(x,t)= Asin 27-t+ø +D_for this wave. Make sure you±2xspecify the values for A, T, N, ø, ±, and D.

Answered: Image /qna-images/answer/9ccb9434-c7e9-4968-8769-81fb07d9cbb9.jpg

Answered: Write out the equation of motion…

Write out the equation of motion y(x,t)= Asin| 27÷±2x+¢ |+D for this wave. Make sure you specify the values for A, T, ^, ø, ± , and D.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

1. A rubber ducky (located at x = 0 m) floats on
a lake and bobs up and down due to one
dimensional water waves. Shown to the right
are a y(t) graph that depicts the vertical
displacement of rubber ducky as a function of
time and a y(x) graph that depicts the water
wave as a function of position at the time
t = 0 s and.
\y (in cm)
at x=0
3
t (in s)
3
-2
-3
y (in cm)
at t=0
a. Explain how the y vs. t graph tells
whether this wave is moving to the right
or to the left.
you
3
2 +
1 +
x (in m)
2
3
-2 +
-3+
b. Write out the equation of motion y(x,t)= Asin 27-
t
+ø +D_for this wave. Make sure you
±2x
specify the values for A, T, N, ø, ±, and D.

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