Answer:
a. Dugan's average speed for the entire race was 2.47 m/s.
b. Dugan's average speed for the first 25.00 m leg of the race was 2.48 m/s.
c. Since the starting and ending points are the same, the displacement is zero. Therefore, the average velocity is also zero.
Step-by-step explanation:
To solve this problem, we'll need to use the formula:
average speed = total distance / total time
where total distance is the distance covered in the entire race (50 meters), and total time is the time it took Dugan to cover that distance.
a. To find Dugan's average speed for the entire race, we'll need to add up the times for both legs of the race:
total time = 10.08 seconds + 10.17 seconds = 20.25 seconds
Now we can plug in the values:
average speed = 50 meters / 20.25 seconds = 2.47 m/s
So Dugan's average speed for the entire race was 2.47 m/s.
b. To find Dugan's average speed for the first 25.00 m leg of the race, we'll need to use the formula again, but this time we'll only consider the first leg of the race:
average speed = 25 meters / 10.08 seconds = 2.48 m/s
So Dugan's average speed for the first 25.00 m leg of the race was 2.48 m/s.
c. Average velocity is the displacement (change in position) divided by the time taken. Since the starting and ending points are the same, the displacement is zero. Therefore, the average velocity is also zero.