$A$ simple harmonic oscillator has an amplitude of $0.5 \ m$ and a time period of $2 \ s$. What is the magnitude of acceleration when it is displaced from the mean position by $0.25 \ m$?
- A$\pi^{2} \ m \ s^{-2}$
- B$\frac{\pi^2}{2} \ m \ s^{-2}$
- C$\frac{\pi^2}{4} \ m \ s^{-2}$
- D$\frac{\pi^2}{8} \ m \ s^{-2}$
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