$5.$ Traction$-$Limited Acceleration Analysis $($Lateral Load Transfer$).$ Suppose the car of $\backslash (3\backslash$rightarrow $\backslash )$ problem $1$ has rear$-$wheel drive, with a non$-$locking differential and a track width of $4\mathrm{.}5$ ft $.$ The static rear axle load is $1400$ lb $.$ First gear has a ratio of $1\mathrm{.}9.$ The car is on glare ice with a coefficient of $0\mathrm{.}11.$ Ignoring longitudinal load transfer, but not lateral load transfer, figure the maximum acceleration from rest, assuming an engine torque of $\backslash (140\backslash$mathrm$\{$ft$\}\backslash$cdot $\backslash$mathrm$\{$lb$\}\backslash ).$ Ignore angular accelerations of drive train components, rolling resistance, and aerodynamic drag.