Motion of a particle is given by equation $s=\left(2 t^{3}+5 t^{2}+10 t+4\right) \mathrm{m}$. The va

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Motion of a particle is given by equation $s=\left(2 t^{3}+5 t^{2}+10 t+4\right) \mathrm{m}$. The value of acceleration of the particle at $t=2 \mathrm{sec}$ is

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(b) : Velocity $v = \frac{d s}{d t}=6 t^{2}+10 t+10$ \ Acceleration $a = \frac{d^{2} s}{d t^{2}}=12 t+10$ \ $a_{(t=2 \mathrm{~s})}=12 	imes 2+10=34 \mathrm{~m} / \mathrm{s}^{2}$