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Correct option is A)

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

$â‡’sin(2Ď€t+3Ď€â€‹)=0â‡’(2Ď€t+3Ď€â€‹)=0,Ď€,2Ď€,3Ď€....$

if we take $(2Ď€t+3Ď€â€‹)=0$, time will come negative which is not possible. So we take $(2Ď€t+3Ď€â€‹)=Ď€$

$â‡’t=31â€‹s=0.33s$

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 $t=0.33s$

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