A car weighs 2200 lb and is traveling 100 mi/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 -0.05n,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 22 ft2, the drag coefficient is 0.35, and air density is 0.0022 slugs/ft3. If the car isin a gear that produces maximum torque, what would the car's maximum acceleration be?

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Unit Conversion

Standard units are also called SI units. SI units are used for measuring a physical quantity satisfying certain conditions. There are two types of units: fundamental units and derived units. Fundamental units are physical quantities that are independent, that is, they do not depend on other quantities like mass, length, or time. There are plenty of quantities in our lives which need to be measured and compared. Measuring is the comparison of a particular physical quantity with its reference value. A unit is a measure of a fixed physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with.