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Question

- 0.33 sec
- 0.5 sec
- 0.25 sec
- 0.16 sec

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Solution

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x=Asin(2πt+π/3)

Velocity, v=dxdt=2πAcos(2πt+π/3)

For maximum velocity,

dvdt=0

⇒−4π2Asin(2πt+π/3)=0

⇒sin(2πt+π/3)=sin(nπ)

⇒2πt+π/3=nπ

for n=1

⇒2πt=π−π/3=2π3

t=13=0.33sec

The correct option is A.

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