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A vibratory motion is represented by
\[
\begin{aligned}
x=2 A \cos \omega t+A \cos \left(\omega t+\frac{\pi}{2}\right) & +A \cos (\omega t+\pi) \\
& +\frac{A}{2} \cos \left(\omega t+\frac{3 \pi}{2}\right) .
\end{aligned}
\]
\( \mathrm{P} \)
W
The resultant amplitude of the motion is
(a) \( \frac{9 A}{2} \)
(b) \( \frac{\sqrt{5} A}{2} \)
(c) \( \frac{5 A}{2} \)
(d) \( 2 A \)
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