The displacement, y , of particles in a wave travelling along the x-axis is given by y(x, t) = 2xe-x-3t + 6tex-3t for x and y measured in centimetres and t in seconds. (a) Use the one-dimensional wave equation to determine the phase speed of the wave. In what direction does the wave propagate? (b) Show that a particle at any position x along the wave obeys the equation of motion, a?y ду +6- + 9y = 0 at? at What kind of oscillation does this describe?

The displacement, y , of particles in a wave travelling along the x-axis is given by y(x, t) = 2xe-x-3t + 6tex-3t for x and y measured in centimetres and t in seconds. (a) Use the one-dimensional wave equation to determine the phase speed of the wave. In what direction does the wave propagate? (b) Show that a particle at any position x along the wave obeys the equation of motion, a?y ду +6- + 9y = 0 at? at What kind of oscillation does this describe?

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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