Physics - SHM Question with Solution | TestHub

Given : displacement$\text{x}=2\times {\text{10}}^{-2}\text{ cos }\text{π}\text{t}$

Velocity$\text{ν}=\frac{\mathit{\text{d}}\text{x}}{\mathit{\text{dt}}}=-2\times {\text{10}}^{-2}\text{ π}\text{ sin }\text{π}\text{t}$

For the first time when$\text{ν}={\text{ν}}_{\text{max}}$,$\text{ sin }\text{π}\text{t}=1$

or$\text{ sin }\text{π}\text{t}=\text{sin}\frac{\text{π}}{2}$or$\text{π}\text{t}=\frac{\text{π}}{2}$

or$\text{t}=\frac{1}{2 }\text{ s}$$=0.5\text{s}\text{.}$