In Example 2.3, what was your average speed during the time interval that you walked \((a)\) away from and \((b)\) back toward your dorm?

(c) Is the average of your answers to parts \(a\) and \(b\) the same as the average speed calculated in Example 2.3? Why or why not?

Data From Example 2.3:
With about 20 min to spare, you walk leisurely from your dorm to class, which is 1.0 km away. Halfway there, you realize you have forgotten your notebook and run back to your dorm. You walked 6.0 min before turning around, and you travel three times as far per unit of time running as you do when walking. What are

(a) the x component of your average velocity and

(b) your average speed over the entire trip?