Final answer:
To calculate the average speed of a person jogging eight laps around a 400-meter track in 14.6 minutes, convert the time to seconds and divide the total distance jogged (3,200 meters) by the total time (876 seconds), yielding an average speed of about 3.65 meters per second.
Step-by-step explanation:
The question asks for the calculation of the average speed of a person who jogs eight complete laps around a 400-meter track in 14.6 minutes. To find the average speed, we need to divide the total distance by the total time taken. First, we convert the total time from minutes to seconds (14.6 minutes is 876 seconds). Then we multiply the number of laps (8) by the length of each lap (400 meters) to get the total distance. We find that the person jogs a total of 3,200 meters.
Next, we use the formula for average speed, which is total distance divided by total time. So, the average speed is 3,200 meters divided by 876 seconds, which gives us approximately 3.65 meters per second (m/s) as the average speed.