A car has the following torque$/$engine$-$speed curve: $Me=8\mathrm{.}7ne-$

$0\mathrm{.}046ne2.$ Where, Meis the engine torque in ft$-$lb and n$$ the engine

speed in revolutions per second. The car travels in the gear that

produces the maximum torque at $110$ miles per hour, its wheel radius is

$14$ in$,$ and the drive axle slippage is $1\mathrm{.}75\%.$ The drivetrain efficiency of

the car is $i=91\mathrm{.}5\%.$ Its weight is $2,274lb.$ and travels on a track that is on

a $2\mathrm{.}8\%$ upgrade. The car's frontal area is $21\mathrm{.}1f{t}^2,$ its drag coefficient is

$0\mathrm{.}33,$ and the surrounding air density is $0\mathrm{.}0022$ slugs $\frac{?}{f{t}^3}.$

Question $1.$a$.$ What is the max torque?

Question $1.$b$.$ What is the value of the gear reduction ratio that

produces the maximum torque

Question $1.$c$.$ What is the engine$-$generated tractive effort for the

previous conditions $($ hat$()$: $)$ in lb $?$

Question $1.$d$.$ What is the grade resistance in lb$?$

Question $1.$e$.$ What is the aerodynamic resistance in lb$)?$

Question $1.$f$.$ What is the rolling resistance in lb$?$

Question $1.$g$.$ What is the acceleration of the car for the previous

conditions in ft$/$s$2?($Assume engine$-$generated tractive effort provides

the maximum tractive effort