The displacement of an oscillating particle varies with time (in seconds) according to the equation y (cm) = sin $\frac{\mathrm{\pi }}{2}\left(\frac{\mathrm{t}}{2}+\frac{1}{3}\right)$ . The maximum acceleration of the particle is approximately 

• A

  $5.21\mathrm{cm}/{\mathrm{s}}^2$

• B

  $3.62\mathrm{cm}/{\mathrm{s}}^2$

• C

  $1.81\mathrm{cm}/\mathrm{s}$

• D

  $0.62\mathrm{cm}/{\mathrm{s}}^2$