A hiker starts from point O and follows these consecutive displacements:
(i) 800m east in 10min,
(ii) 600m north in 8min,
(iii) 400m west in 6min,
(iv) 500m towards south-east (at 45∘ to both axes) in 7min.
a. (a) Determine the net displacement of the hiker from point O.
b. (b) Hence calculate the magnitude and direction of the average velocity for the entire journey.