3. A man leaves his home by car and travels 5 km on a road running due East. The driver then

turns left and travels 2 km due north to a junction where he joins a road that goes North West
and drives a further 2 km. Find his displacement from home by then.

2 answers

East:
5 - 2 /sqrt 2 = 3.5858
North:
2 + 2/sqrt 2 = 3.414

d^2 = 3.5858^2 + 3.414^2

d = 4.95 km
5km