A transverse pulse is propagating in a stretched string and represented at t = 0 by the wave form: y(x) = 3.00 e-x² x and y are in meter. The pulse propagates in the positive x-direction with a speed of 2.50 m/s. (a) Write the corresponding wave function describing the displacement y(x, t) of an element of the string as function of its position x and time t. (b) Plot approximately the pulse at t = 0 and t = 2.00s on the same graph (x, y). (c) Plot approximately the displacement y of a point located at x = +5.00 m as a function of time t in a graph (t, y).

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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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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A transverse pulse is propagating in a stretched string and represented at t = 0 by the wave
form:
y(x) = 3.00 e-x²
x and y are in meter. The pulse propagates in the positive x-direction with a speed of 2.50 m/s.
(a) Write the corresponding wave function describing the displacement y(x, t) of an element
of the string as function of its position x and time t.
(b) Plot approximately the pulse at t = 0 and t = 2.00s on the same graph (x, y).
(c) Plot approximately the displacement y of a point located at x = +5.00 m as a function of
time t in a graph (t, y).
Transcribed Image Text:A transverse pulse is propagating in a stretched string and represented at t = 0 by the wave form: y(x) = 3.00 e-x² x and y are in meter. The pulse propagates in the positive x-direction with a speed of 2.50 m/s. (a) Write the corresponding wave function describing the displacement y(x, t) of an element of the string as function of its position x and time t. (b) Plot approximately the pulse at t = 0 and t = 2.00s on the same graph (x, y). (c) Plot approximately the displacement y of a point located at x = +5.00 m as a function of time t in a graph (t, y).
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