Problem $2$: A car weighs $2200$ lb and is traveling $100m\frac{i}{h}$ on a race track that is on a $3\%$

upgrade. The car is preparing to pass a slower car and its torque$/$engine speed curve is given by

the equation,

$Me=8ne-0\mathrm{.}05n{e}^2$

with Me in $ft-lb$ and ne in revolutions per second. Drivetrain efficiency is $90\%,$ drive axle

slippage is $2\%,$ wheel radius is $15$ inches, frontal area is $22f{t}^2,$ drag coefficient is $0\mathrm{.}35,$ and air

density is $0\mathrm{.}0022$ slugs $\frac{?}{f{t}^3}.$ If the car is in a gear that produces maximum torque, what would

the car's maximum acceleration be$?$