The variation of displacement with time of a simple harmonic motion $(SHM)$ for a particle of mass $m$ is represented by $y = 2 \sin \left(\frac{\pi t}{2} + \phi\right) \text{ cm}$. The maximum acceleration of the particle is

  • A
    $\frac{\pi}{2} \text{ cm/s}^2$
  • B
    $\frac{\pi}{2m} \text{ cm/s}^2$
  • C
    $\frac{\pi^2}{2m} \text{ cm/s}^2$
  • D
    $\frac{\pi^2}{2} \text{ cm/s}^2$

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