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The displacement s of a particle at time...

The displacement `s` of a particle at time `t` is given by `s=alpha sin omegat+beta cos omegat` then acceleration at time `t` is

A

`omega^(2)s`

B

`omegas`

C

`-omega^(2)s`

D

`-omegas`

Text Solution

Verified by Experts

The correct Answer is:
C
Velocity `v=(ds)/(dt)= omega alpha cos omega -omega beta sin omega t`
`:.` Acceleration `=a`
`(dv)/(dt)=-omega^(2) alpha sin omegat - omega^(2) beta cos omega t`
`=- omega^(2)s`
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