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 s`
B. `0.75 s`
C. `0.125 s`
D. `0.25 s`

Answer

A

Explanation

`:' x = 2 xx 10^(-2) cospit`
`:. V = (2 xx 10^(-2)) (pi) (-sinomegat) = -2pi xx 10^(-2) sinpit`
Speed will be maximum if
`pit = (pi)/(2) rArr t = (1)/(2) = 0.5 s`