Final answer:
Maximum acceleration of a car on an incline is calculated using the coefficient of static friction and gravity, factoring in the incline angle and weight distribution.
Step-by-step explanation:
The question pertains to calculating the maximum acceleration of a car that is driving up a 4° incline. This calculation assumes that only half the weight of the car is supported by the rear (drive) wheels and that the coefficient of static friction (μs) between the tires and the road is taken into account to prevent slipping during acceleration.
The maximum acceleration can be determined using the formula a = (μs ∙ g ∙ cos(θ) - g ∙ sin(θ)), where g represents the acceleration due to gravity (9.8 m/s²), θ is the slope angle (which is 4° in this case), and μs is the coefficient of static friction for different road conditions such as dry concrete, wet concrete, or ice. The specific values for μs must be given for each case.
Without these values, we cannot provide specific numerical answers for the maximum acceleration on different surfaces. The formula incorporates both the force due to static friction and the component of the car's weight parallel to the slope's surface. If additional information is provided, this formula can be used to solve for the maximum acceleration.