### Distance and Displacement

**Displacement** is a vector representing both the distance traveled
and the direction.

If you start at **x**_{o} and move to **x**, your displacement **Δx** is:

Δ**x** = **x** - **x**_{o}

### Example:

Move 5 meters north, **Δx** = 5 m north.

Now go the other direction, with a displacement of 3 m south.

The total distance traveled is 8 m. What is your net displacement?

**Δx**_{1} = +5 m north

**Δx**_{2} = +3 m south = - 3 m north

Net displacement: **Δx** = **Δx**_{1} + **Δx**_{2} = +5 -3 = +2 m north