For Fig$-3$ given the following parameters:

a$.$ Length, $L=2\mathrm{.}54m$

b$.$ Flexural rigidity, $EI=6\mathrm{.}895109N.m^2$

c$.$ Weight, $W=13340\mathrm{.}8N$

d$.$ Spring stiffness, $k=35000\frac{N}{m}$

c$.$ Initial displacement, $u0=0\mathrm{.}0254m$

f$.$ Initial velocity, $40=0\mathrm{.}508\frac{m}{s}$

Determine the displacement and velocity of the system I second later.