A courier starts from the origin and moves as follows:
• 5.0 km at 30 km h⁻¹ along a direction 60° north of east,
• 10 min due south at 20 km h⁻¹,
• 4.0 km due west at 40 km h⁻¹.
(a) Calculate the average speed for the complete trip.
(b) Find the magnitude and direction of the average velocity, measured from the eastward direction.