Wave flow of an incompressible fluid into a solid surface follows a sinusoidal pattern. Flow is axisymmetric about the \(z\) axis, which is normal to the surface. The \(z\) component of the flow follows the pattern

\[V_{z}=A z \sin \left(\frac{2 \pi t}{T}\right)\]

Determine

(a) the radial component of flow \(\left(V_{r}\right)\) and

(b) the convective and local components of the acceleration vector.