Final answer:
The average acceleration of the race car is approximately 0.0486 m/s².
Step-by-step explanation:
To find the average acceleration of the race car, we can use the equation average acceleration = (final velocity - initial velocity) / time. The final velocity is given as 67 m/s, the initial velocity is not given, and the time is given as 23 minutes. However, we need to convert the time to seconds, so 23 minutes is equal to 23 * 60 = 1380 seconds. Similarly, we need to convert the distance to meters, so 30 miles is equal to 30 * 1609.34 = 48280.2 meters. Since the race car starts and finishes the race, its initial velocity is 0 m/s. Plugging these values into the equation, we get average acceleration = (67 - 0) / 1380 = 0.0486 m/s². Therefore, the average acceleration of the race car is approximately 0.0486 m/s².