Question

1. a person walks 3 kilometers north, 6 kilometers east, and 3 kilometers south. what is the displacement?

\boxed{} kilometers

Explanation:

Step1: Analyze north-south displacement

The person walks 3 km north then 3 km south. These cancel out:
$3\ \text{km north} - 3\ \text{km south} = 0\ \text{km (north-south)}$

Step2: Analyze east-west displacement

The person walks 6 km east, with no westward movement:
$6\ \text{km east} - 0\ \text{km west} = 6\ \text{km east}$

Step3: Calculate total displacement

Total displacement is the net distance from start, which equals the eastward distance since north-south motion cancels.

Answer:

6 kilometers east (or 6 km)