The oscillation of a body on a smooth horizontal surface is represented by the equation,
`X = A cos (omega t)`
where, X = displacement at time t
`omega =` frequency of oscillation
Which one of the following graphs shows correctly the variation a with t?
Here, a = acceleration at time t
T = time period

Options

A.
B.
C.
D.

Answer

A

Explanation

`X = A cos omega t`
`v = (dx)/(dt) = A omega sin omega t`
`a = (d^(2)x)/(dt^(2)) =-A omega^(2) cos omega t`