Problem 3) (10 points) A rear-wheel-drive car has an engine running at 3296 revolutions per minute. It is known that at this engine speed the engine produces 80 horsepower. The car has an overall gear reduction ratio of 10, a wheel radius of 16 inches, and a 95% drivetrain mechanical efficiency. The weight of the car is 2600 lb, the wheelbase is 95 inches, and the center of gravity is 22 inches above the roadway surface. What is the closest distance the center of gravity can be behind the front axle to have the vehicle achieve its maximum acceleration from rest on good, wet pavement?

Fig: 1