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A vibratory motion is represented by $x = 2A\,\cos \omega t + A\,\cos \,\left( {\omega t + \frac{\pi }{2}} \right) + A\,\cos \,\left( {\omega t + \pi } \right)$ $ + \frac{A}{2}\,\cos \left( {\omega t + \frac{{3\pi }}{2}} \right)$. The resultant amplitude of the motion is
  • A$\frac{{9A}}{2}$
  • B$\frac{{\sqrt 5 A}}{2}$
  • C$\frac{{5A}}{2}$
  • D$2A$
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