$y = 2\, (cm)\, sin\,\left[ {\frac{{\pi t}}{2} + \phi } \right]$ what is the maximum acceleration of the particle doing the $S.H.M.$
AIIMS 2014, Medium
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$y = 2\,\sin \,\left( {\frac{{\pi t}}{2} + \phi } \right)$
velocity of particle $\frac{{dy}}{{dt}} = 2 \times \frac{\pi }{2}\,\cos \,\left( {\frac{{\pi t}}{2} + \phi } \right)$
acceleration $\frac{\mathrm{d}^{2} \mathrm{y}}{\mathrm{dt}}=-\frac{\pi^{2}}{2} \sin \left(\frac{\pi \mathrm{t}}{2}+\phi\right)$
Thus $a_{\max }=\frac{\pi^{2}}{2}$
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