Question

A car is driven west for a distance of 50 km, then north for 30 km, and then in direction 30° east of

north for 25 km. Determine the total displacement of the car from its starting point by drawing the

vector diagram.

Answer 1

$x=50-25\cdot\sin 30°=37.5~km,$

$y=30+25\cdot\cos 30°=51.7~km,$

$r=\sqrt{x^2+y^2}=63.8~km.$