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 of the following graphs shows the corrects variation of acceleration 'a' with time 't'.

Options

A.
B.
C.
D.

Answer

C

Explanation

Here `x= a cos omega t`
velocity `v= -a omega sin omega t` and
Acceleration `a= -a omega^(2) cos omega t`
and graph (C ) shows the change in acceleration with time.