$A$ particle in $SHM$ is described by the displacement equation $x(t) = A\cos(\omega t + \theta)$. If the initial $(t = 0)$ position of the particle is $1 \, cm$ and its initial velocity is $\pi \, cm/s$,what is its amplitude? The angular frequency of the particle is $\pi \, s^{-1}$.

  • A
    $1 \, cm$
  • B
    $\sqrt{2} \, cm$
  • C
    $2 \, cm$
  • D
    $2.5 \, cm$

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