Final answer:
The average value of the air resistance experienced by the sports car between 0 and 60 mph is 700 N, calculated using Newton's second law by subtracting the product of mass and acceleration from the driving force.
Step-by-step explanation:
To calculate the average air resistance experienced by the sports car as it accelerates from 0 to 60 mph, we need to use Newton's second law of motion. This law states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). The net force is given by the difference between the driving force and the air resistance.
Since the driving force is about 4000 N and the car's acceleration is 4.4 m/s2, we can set up the equation as:
Fnet = Fdrive - Fair
ma = Fdrive - Fair
Fair = Fdrive - ma
Inserting the given values:
Fair = 4000 N - (750 kg × 4.4 m/s2)
Fair = 4000 N - 3300 N
Fair = 700 N
Therefore, the average value of the air resistance experienced by the car between 0 and 60 mph is 700 N.