A cyclist rides straight along an east–west road: first 500m due east in 100s, then 300m due west in 80s.
(i) Determine the total distance travelled.
(ii) Determine the total displacement, taking east as the positive direction.
(iii) Calculate the average speed for the entire motion.
(iv) Calculate the average velocity, giving its magnitude and direction.
(v) Which quantity—average speed or average velocity—changes more if the cyclist rides an extra 100m west at the same speed before stopping? Give a brief reason based on your answers above.