The displacement of an oscillating particle varies with time (in seconds) according to the equation $y (cm) = sin \frac{\pi }{2}\left( {\frac{t}{2} + \frac{1}{3}} \right)$. The maximum acceleration of the particle is approximately ..... $cm/s^2$
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${a_{\max }} = {\omega ^2}a = {\left( {\frac{\pi }{4}} \right)^2}a = 0.62\;cm/se{c^2}$ $[ a =1]$
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