Distance vs Displacement — What's the Difference?

Distance

Distance is the total length of the path traveled between two points, no matter how twisty the route. It accumulates every step.

d=∑path lengthsd = \sum \text{path lengths}

Unit: meter (m)

Example: Walking 3 km around the block and back home covers a distance of 3 km, even though you ended where you started.

Displacement

Displacement is the straight-line change in position from start to finish — the vector pointing from where you began to where you ended.

Δx⃗=x⃗f−x⃗i\Delta \vec{x} = \vec{x}_f - \vec{x}_i

Unit: meter (m), with direction

Example: That same 3 km walk ends at home, so the displacement is zero — start and finish are the same place.

Key differences

AspectDistanceDisplacement
Quantity typeScalar — path length onlyVector — straight line with direction
Can it be zero while moving?No, unless you never moveYes — any round trip returns displacement to zero
Depends on route?Yes — a longer route means more distanceNo — only start and end points matter
Feeds intoAverage speed (distance / time)Average velocity (displacement / time)
Why students confuse them

Students plug distance into the velocity formula and get speed instead. If a problem asks for average velocity over a round trip, the answer is zero — a result that surprises everyone the first time. Always check: does the question want the path (distance) or the net change in position (displacement)?