Final answer:
The displacement of the car is 100 km in the northeast direction.
Step-by-step explanation:
The displacement of the car can be determined by adding the displacements in the north and south directions and the east and west directions separately.
The car's displacement in the north direction is 100 km, and in the south direction, it is 20 km. Therefore, the net displacement in the north-south direction is 100 km - 20 km = 80 km
The car's displacement in the east direction is 60 km. There is no displacement in the west direction. Therefore, the net displacement in the east-west direction is 60 km - 0 km = 60 km
Using the Pythagorean theorem, the magnitude of the net displacement is given by sqrt((80 km)^2 + (60 km)^2) = 100 km
The net displacement of the car is 100 km, and it is in the northeast direction.