To determine the displacement, we need to
find the straight-line distance between the person's starting point and their
final position.
Given:
First Movement: 6 kilometers north
Second Movement: 4 kilometers east
Third Movement: 3 kilometers south
Then, calculate net displacement in each direction:
Net North-South Displacement:
Net North = 6 km (north) – 3 km (south) = 3 km (north)
Net East-West Displacement:
Net East = 4
km (east)
Since the person's final displacement forms
a right triangle with legs of 3 kilometers (north) and 4 kilometers (east), the
displacement can be calculated using the Pythagorean theorem: