. In a professional cycling race, competitors (the “peloton”) begin the race by riding 45.0 km north,
then the road turns west by 37◦
for the next 50.0 km, before turning due west for the final 35.0 km.
The average speed of this race is 42.8 km/h.
(a) [3 marks] Draw a vector diagram describing their motion.
(b) [2 marks] What is their total distance?
(c) [4 marks] What is their displacement?
(d) [2 marks] What is the duration of the race?
(e) [3 marks] What is the average velocity of the riders?
(f) [2 marks] If, after the race, the team buses can drive the riders back to the starting point on a
straight line, in what direction would the bus head?