Question: (a) Plot the time-independent wave function for the traveling pulse described by the time-dependent wave function [D_{y}(x, t)=frac{a}{b^{2}+(x-a)^{2}}] with (a=5.0 mathrm{~m}^{3}, b=1.0 mathrm{~m}), and (c=2.0

(a) Plot the time-independent wave function for the traveling pulse described by the time-dependent wave function

\[D_{y}(x, t)=\frac{a}{b^{2}+(x-a)^{2}}\]

with $a=5.0 \mathrm{~m}^{3}, b=1.0 \mathrm{~m}$, and $c=2.0 \mathrm{~m} / \mathrm{s}$ for $t=0$, $1.0 \mathrm{~s}, 2. 0 \mathrm{~s}$, and $3.0 \mathrm{~s}$.

(b) What is the wave speed $c$ of this pulse?

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