Problem 1) (10 points) A car weighs 2200 lb and is travelling 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 (with Me in ft-lb and n, in revolutions per second): M₂=8n, -0.05n² Drivetrain efficiency is 90%, drive axle slippage is 2%, wheel radius is 15 inches, frontal area is 22 ft², drag coefficient is 0.35, and air density is 0.0022 slugs/ft³. If the car is in a gear that produces maximum torque, what would the car's maximum acceleration be?

Fig: 1