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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

`6 cm//s`

B

`16 cm//s`

C

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

D

`8 cm//s`

Text Solution

Verified by Experts

The correct Answer is:
B
`v=omegasqrt(A^(2)-x^(2))` In this case `omega =4,a =5, x=3`
`therefore v=4sqrt(25-9)=16 cm//s`
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