Two waves passing through a region are represented by \[ \begin{aligned} y_{1} &=(1.0 \mathrm{~c...

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Two waves passing through a region are represented by
\[
\begin{aligned}
y_{1} &=(1.0 \mathrm{~cm}) \sin \left[\left(3.14 \mathrm{~cm}^{-1}\right) x-\left(157 \mathrm{~s}^{-1}\right) t\right] \\
\text { and } & y_{2}=(1.5 \mathrm{~cm}) \sin \left[\left(1.57 \mathrm{~cm}^{-1}\right) x-\left(314 \mathrm{~s}^{-1}\right) t\right]
\end{aligned}
\]
Find the displacement of the particle at \( x=4.5 \mathrm{~cm} \) at time \( t=5.0 \mathrm{~ms} \).
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