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Updated on : 2022-09-05

Solution

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Correct option is A)

$x=Asin(2πt+π/3)$

Velocity, $v=dtdx =2πAcos(2πt+π/3)$

For maximum velocity,

$dtdv =0$

$⇒−4π_{2}Asin(2πt+π/3)=0$

$⇒sin(2πt+π/3)=sin(nπ)$

$⇒2πt+π/3=nπ$

for $n=1$

$⇒2πt=π−π/3=32π $

$t=31 =0.33sec$

The correct option is A.

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