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The equation of motion of a particle sta...

The equation of motion of a particle started at `t=0` is given by `x=5sin(20t+pi//3)` where x is in centimeter and t in second. When does particle
(a) first come to rest
(b) first have zero acceleration
(c) first have maximum speed?

A

`(pi)/(90)sec`

B

`(pi)/(120)sec`

C

`(pi)/(60)sec`

D

`(pi)/(30)sec`

Text Solution

Verified by Experts

The correct Answer is:
D
`a = (d^(2)y)/(dt^(2)) =0` at mean position, particle is initially moving towards positive exterme.
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