To determine the velocity of Car A relative to Car B (or vice versa), we need to combine their velocities using vector addition. The relative velocity is the vector sum of their velocities.
Let's assume that north is the positive y-direction and west is the negative x-direction. Car A's velocity can be represented as (0 km/h, 40 km/h) since it is moving only in the north direction. Car B's velocity is (-60 km/h, 0 km/h) as it is moving only in the west direction.
To find their relative velocity, we add the components of their velocities:
Relative velocity = (Car A's velocity) - (Car B's velocity) = (0 km/h, 40 km/h) - (-60 km/h, 0 km/h) = (0 km/h + 60 km/h, 40 km/h + 0 km/h) = (60 km/h, 40 km/h)
Therefore, the relative velocity of Car A with respect to Car B is (60 km/h, 40 km/h). This means that from Car B's perspective, Car A appears to be moving 60 km/h eastward (opposite to the west) and 40 km/h southward (opposite to the north).