The displacement of an obuect attached to a spring and executing simple harmonic motion is given by `x=2xx100^(-2) cos pit` metre. The time at which the maximum speed first occurs is.

Options

A. 0.5 sec
B. 0.25 sec
C. 0.75 sec
D. 0.125 sec

Answer

A

Explanation

The particle starts from the extreme position.
Comparing `x=A "cos" omega t and x=(2xx10^(-2)) "cos" pi t`, we get
`omega =pi therefore (2pi)/(T)=pi therefore T=2s`
The particle starts from the extreme position, where its speed is zero and after time `(T)/(4)=(2)/(4)=0.5 s`, it will reach the mean position, where its speed is maximum.