Final answer:
Mr. Andrews' average speed is 5.33 m/s while his average velocity is 0 m/s because he finishes where he started, resulting in a net displacement of zero.
Step-by-step explanation:
To determine Mr. Andrews' average speed, we use the formula for speed, which is total distance divided by total time. Since Mr. Andrews jogs eight times around a 500-meter track, that is a total distance of 8 × 500 m = 4000 m. Given that he takes 12.5 minutes, we first convert this time into seconds for consistency in units, which is 12.5 minutes × 60 s/minute = 750 s. Thus, the average speed is 4000 m / 750 s = 5.33 m/s.
Next, to determine Mr. Andrews' average velocity, we need to consider the displacement over the total time. However, as he completes full laps around the track, his net displacement is zero. Thus, his average velocity is 0 m/s since he ends up at the same point where he started.