Answer
$0.1102\text{ cm}$
Work Step by Step
(b) Substitute $t=\frac{1}{4}$ into the equation:
$$y\left(\frac{1}{4}\right)=2e^{-\frac{1}{4}}\cos \left(6\left(\frac{1}{4}\right)\right)=0.1102$$
Thus, the displacement is $0.1102$ cm.
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