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A partilce is executive simple harmonic ...

A partilce is executive simple harmonic motion given by
`x=5sin(4t-pi/6)`
The velocity of the particle when its displacement is 3 units is

A

`16 cm//s`

B

`(5pi)/(6)cm//s`

C

`20 cm//s`

D

`(2pi)/(3) cm//s`

Text Solution

Verified by Experts

The correct Answer is:
A
`x=5 "sin" (4t -(pi)/(6))`
`therefore " Thus " A =5 cm and omega =4`
`therefore v= omega sqrt(A^(2)-x^(2))=4sqrt(25-9)=16`
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