Final answer:
The football coach's average speed is calculated by dividing the total distance (145 yards) by the total time (600 seconds) and converting the result to yards per minute, which gives an average speed of 1.5 y/min, East.
Step-by-step explanation:
To calculate the football coach's average speed, we need to consider the total distance he traveled and the time it took him. The coach's path takes him from the 10-yard line to the 40-yard line (a distance of 30 yards), then back to the 0-yard line (40 yards), then to the 50-yard line (50 yards), and finally to the 25-yard line (25 yards). To find the total distance, we add these up: 30 yards + 40 yards + 50 yards + 25 yards = 145 yards. Given that this took 10 minutes (or 600 seconds), we can calculate the average speed.
The average speed (v) is the total distance (d) divided by the total time (t), so v = d / t. Substituting the known values gives us v = 145 yards / 600 seconds. To convert yards per second to yards per minute, we multiply by 60 (since there are 60 seconds in a minute), giving us v = (145 yards / 600 seconds) * 60 seconds/minute, which simplifies to v = 14.5 yards/minute. Therefore, the correct answer is Choice A: 1.5 y/min, East.