Question

A car travels 6km east then turns south for another 5km. Find the magnitude and direction of the resultant displacement.

Answer 1

The mafnitude of resultant displacement

$$d=\sqrt{6^2+5^2}=7.8\;\rm km$$

Direction

$$\theta=\tan^{-1}\left(\frac{5}{6}\right)=40^{\circ}\; \rm S\; of \;E$$