A cyclist travels along a straight road in three stages: (a) 600 m east in 2 min, (b) 400 m east in 1 min, and (c) 1000 m west in 3 min.
(i) Calculate the total distance travelled and the magnitude of the total displacement at the end of the three stages.
(ii) Calculate the average speed and the magnitude of the average velocity for the entire journey. Show each step clearly.