The displacement of a body executing $SHM$ is given by $x = A \sin (2\pi t + \pi /3).$ The first time from $t = 0$ when the velocity is maximum is .... $\sec$
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$x=A \sin \left(2 \pi t+\frac{\pi}{3}\right)$

Velocity is maximum at mean position i.e. $x=0$

$\Rightarrow \sin \left(2 \pi t+\frac{\pi}{3}\right)=0$

$\Rightarrow\left(2 \pi t+\frac{\pi}{3}\right)=0, \pi, 2 \pi, 3 \pi \dots$

if we take $\left(2 \pi t+\frac{\pi}{3}\right)=0,$ time will come negative which is not possible. So we take $\left(2 \pi t+\frac{\pi}{3}\right)=\pi$

$\Rightarrow t=\frac{1}{3} s=0.33 s$

for other solutions, we will get higher values of time. but since it is asking for the first time after $t=0,$ the required solution will be $t=0.33 s$

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