The oscillationof a body on a smooth horizontal surface is represented by the equation
`x=Acos omegat`
where `x=` displacement at time t, `omega=` frequency of oscillation. Which one of the following graphs shows correctly the variation of acceleration a with time t ?

Options

A.
B.
C.
D.

Answer

C

Explanation

`x=Acosomegat, ` velocity `upsilon=(dx)/(dt)=-A omegasint`
Acceleration `a=(dupsilon)/(dt)=-Aomega^(2)t`
Thus, variation of a and l will be represented by option (c) .