In a local Cartesian system, a zonal jet has a form u(y) = u\(_0\) (1 - y\(^2\)/L\(^2\)), for \(-L \le y \le L\). Here, y is the meridional distance measured from the axis of the jet and is positive northward. The vertical component of vorticity of this flow at y=L/2 is \(\underline{\hspace{2cm}}\) s\(^{-1}\). Round off to 3 decimal places.