$(20$ points$)$ Find:

a$.$ Ackerman Steering angle for $500,200,100,$ and $50$ ft radius turns

b$.$ Understeer gradient

c$.$ Characteristic speed

d$.$ Lateral acceleration gain at $60$ mph

e$.$ Yaw velocity gain at $60$ mph

f$.$ Slideslip angle of the CG at $60$ mph for $500,200,100,$ and $50$ ft radius turns. What do these tell you?

$\backslash$table$[[$Sprung mass,$2748$ lb$,],[$Unsprung mass,$705$ lb$,],[\backslash$table$[[$Weight$],[$distribution$],[$F$/$R$]],55\frac{\%}{45}\%,],[$Wheelbase$,120$ in$,],[$Tire Cornering Stiffness Values$],[$Load $($lb$)],[225,$Cornering Stiffness $($lb$/$deg$),$Cornering Coefficient $($lb$/$lb$/$deg$)],[450,67,0\mathrm{.}298],[675,121,0\mathrm{.}269],[900,171,0\mathrm{.}253],[1125,225,0\mathrm{.}250],[1350,257,0\mathrm{.}228]]$