Create a state variable model for the quarter car system shown using python. Let $m1=250kg$;$m2=25kg$;$k1=10974\frac{N}{m}$;$k2={10}^5\frac{N}{m}$; c$1=943($this is the same system simulated in Example $4\mathrm{.}8\mathrm{.}3$ so you can use the plots to check your work$).$ Simulate the response to striking a haversine bump $($see section $4\mathrm{.}8)$ with a height of $0\mathrm{.}1$ m while moving at $18\frac{m}{s}.$ Consider two bump lengths: $L=0\mathrm{.}5m$ and $2$ m $.$ For each case, plot the displacements and the force transmitted to the car body through the suspension.