Show me the steps to solve problem $2\mathrm{.}9$

$2\mathrm{.}8$ A rear$-$wheel$$drive car weighs $2600$ lb and has

an $84-$inch wheelbase, a center of gravity $20$ inches

above the roadway surface and $30$ inches behind the

front axle, a drivetrain efficiency of $85\%,14-$inch

radius wheels, and an overall gear reduction of $7$

to $1.$ The car$$s torque$/$engine speed curve is given by

the equation

$60\mathrm{.}0$

$2$

M n n

$45$

$=.$ If the car is on a

e e e

paved, level roadway surface with a coefficient of

adhesion of $0\mathrm{.}75,$ determine its maximum

acceleration from rest.

$2\mathrm{.}9$ Consider the car in Problem $2\mathrm{.}8.$ If it is known

that the car achieves maximum speed at an overall

gear reduction ratio of $2\mathrm{.}7$ to $1$ with a drive axle

slippage of $3\mathrm{.}5\%,$ how fast would the car be going if

it could achieve its maximum speed when its engine

is producing maximum power?