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.

Explanation

Given displacement `x = 2 xx 10^(-2) cos (pit)` Velocity,
`v = (dx)/(dt) =- 2 xx 10^(-2) pi sin (pit)`
For the first time when `=v =v_(max), sin pit = 1` or `sin pit = "sin"(pi)/(2) rArr pi t=(pi)/(2) or t = 0.5 s`