After driving 20.0 km west, a car turns southwest and proceeds another 80.0 km. What is the displacement (in kilometers) of the car from the point of origin (magnitude only)?

Answer 1

The displacement is the sum of the two vectors.

Add the west and the south components of the two legs of the journey:

South: 80 sin 45 = X
West: 20 + 80 cos 45 = Y

magnitude of displacement = sqrt(X^2 + Y^2)