A hiker follows four successive straight-line paths:
1. 3.0 km due south in 12 min,
2. 2.0 km due west at 6 km h⁻¹,
3. 1.5 km due north in 15 min,
4. finally, due east at 4 m s⁻¹ for 10 min.
(i) Compute the average speed for the entire hike.
(ii) Determine the magnitude and direction of the average velocity relative to due south.