Final answer:
The driver's average speed is 155.4 miles per hour, while their average velocity is zero due to the circular nature of the race track.
Step-by-step explanation:
The average speed of the driver can be determined by dividing the total distance of the race (500.0 miles) by the time taken to complete the race (3 hours and 13 minutes). First, we need to convert the time to minutes by multiplying 3 hours by 60 minutes and then adding 13 minutes. This gives us a total time of 193 minutes. Now, we can calculate the average speed by dividing 500.0 miles by 193 minutes. The driver's average speed is approximately 2.59 miles per minute or 155.4 miles per hour.
The average velocity of the driver can be calculated by dividing the total displacement (change in position) by the total time. Since the race is circular, the displacement is zero. Therefore, the average velocity is also zero. This is because velocity is a vector quantity that includes both speed and direction. In this case, since the driver ends up at the same position where they started, the displacement is zero and so is the average velocity.