A cyclist starts from point O and rides 12 km due north, then 5 km due east, and finally 12 km due south to reach point P. The total time taken for the journey is 45 min.
(a) Calculate the total distance travelled.
(b) Calculate the magnitude of the resultant displacement.
(c) Identify whether distance and displacement are scalars or vectors and state the reason for each choice.
(d) Determine the cyclist’s average speed and average velocity for the whole trip.
(e) Classify average speed and average velocity as scalar or vector quantities, giving justification in each case.