$2\mathrm{.}25$ An engineer wants to develop mathematical models for two mechanical springs. She loads the$2\mathrm{.}27$ The damping force for shock absorbers for heavy trucks often exhibits a nonlinear relationship

with the relative velocity between the piston and cylinder of the damper. A typical damper force

relationship is

$F_d=\frac{4500(x^{})}{\sqrt[\phantom{2}]{x^{}2+v^2}}$

where $F_d$ is the damper force $($in N $),x^{}$ is the relative velocity between the piston and the cylinder $($in

$\frac{m}{s}),$ and $v=0\mathrm{.}2\frac{m}{s}.$ Use MATLAB to plot the damper force versus relative velocity for

$-1\mathrm{.}5x^{}1\mathrm{.}5\frac{m}{s}.$ Describe the nature of the damper force for "small" and "large" values of

relative velocities.