Distance

In AP Physics 1, distance is a scalar quantity measuring the total path length an object travels, described by magnitude only. Unlike displacement (a vector), distance has no direction and can never be negative, even if the object ends up back where it started.

Verified for the 2027 AP Physics 1 examLast updated June 2026

What is Distance?

Distance is the total length of the path an object actually travels. It's a scalar, which means it's fully described by a single number with units (like 12 m) and no direction attached. The CED makes this explicit in learning objective 1.1.A: distance and speed are scalar quantities, while position, displacement, velocity, and acceleration are vectors.

Here's the picture that makes it click. Imagine walking 3 m east and then 3 m west. Your distance traveled is 6 m, because you count every step. Your displacement is zero, because you ended up where you started. Distance is the odometer reading; displacement is the straight-line arrow from start to finish. Distance only ever grows as an object moves, so it can't be negative, and there's no sign convention to worry about. That's the whole point of calling it a scalar.

Why Distance matters in AP Physics 1

Distance lives in Topic 1.1 (Position, Velocity, and Acceleration) and directly supports LO 1.1.A, where you have to classify quantities as scalars or vectors and describe them with magnitude and direction "as appropriate." Distance is one of the CED's two named scalar examples (the other is speed), so it's the go-to test case for whether you actually understand the scalar/vector divide. That divide is the foundation for everything in Unit 1, because the kinematics equations and one-dimensional vector sums (LO 1.1.B) all depend on knowing which quantities carry signs and which don't.

It also shows up downstream in Unit 2. In Topic 2.7, friction problems often ask how far an object slides before stopping. The kinetic friction force itself depends on the normal force and the coefficient of friction, not on distance, but the distance an object travels under that friction is exactly what kinematics lets you calculate. Distance is the bridge between force analysis and motion outcomes.

How Distance connects across the course

Displacement (Unit 1)

Displacement is distance's vector twin. Distance counts the whole path; displacement is the arrow from start point to end point. They're equal in magnitude only when the object moves in one direction without turning around, which is exactly the special case exam questions love to break.

Scalar Quantity (Unit 1)

Distance is the CED's poster child for scalars under LO 1.1.A. If a question asks you to sort quantities into scalars and vectors, distance and speed go in the scalar bin, while position, displacement, velocity, and acceleration go in the vector bin.

Kinematics equations (Unit 1)

The kinematics equations are written in terms of vector quantities like displacement and velocity, not distance. In one-dimensional motion you can often treat the magnitude of displacement as the distance traveled, but only if the object never reverses direction.

Normal Force (Unit 2)

In Topic 2.7 friction problems, the kinetic friction force equals the coefficient of friction times the normal force. Notice what's missing from that equation: distance. Friction's strength doesn't depend on how far something slides, but stopping distance is the natural follow-up question once you've found the friction force.

Is Distance on the AP Physics 1 exam?

Distance shows up in two main ways. First, in conceptual MCQs that test the scalar/vector distinction, like asking which quantities are scalars or comparing distance traveled to the magnitude of displacement for an object that changes direction. The classic trap is an object that goes out and comes back, where distance is large but displacement is zero. Second, distance is the quantity you solve for in quantitative problems, like how far a block slides on a surface with friction (Topic 2.7) or how far a projectile lands from a table. The 2017 short FRQ about launching blocks horizontally off a lab table and the 2019 spring-launcher FRQ both hinge on landing distance, where you combine forces or energy with kinematics to predict where something ends up. Be ready to state clearly whether you're reporting distance or displacement, because graders read those as different claims.

Distance vs Displacement

Distance is a scalar measuring total path length; displacement is a vector measuring the change in position from start to finish. Walk 5 m forward and 5 m back, and your distance is 10 m while your displacement is 0. Distance can never decrease or be negative, but displacement can be negative, zero, or shrink as you head back toward your starting point. On the exam, if direction or sign matters, the question is about displacement, not distance.

Key things to remember about Distance

  • Distance is a scalar quantity, so it is described by magnitude only and never carries a direction or a negative sign.

  • Distance measures total path length traveled, while displacement measures the straight-line change in position from start to end.

  • Distance equals the magnitude of displacement only when an object moves in one direction the whole time without reversing.

  • The kinematics equations use displacement and velocity (vectors), so you have to be careful translating between distance and displacement when motion changes direction.

  • In friction problems from Topic 2.7, the friction force does not depend on distance, but distance traveled is often what you calculate after finding the acceleration friction causes.

Frequently asked questions about Distance

What is distance in AP Physics 1?

Distance is the total path length an object travels. It's a scalar quantity, meaning it has magnitude only and no direction, which is exactly how the CED defines it under learning objective 1.1.A.

Is distance the same as displacement?

No. Distance is a scalar counting total path traveled, while displacement is a vector pointing from start to finish. If you walk 4 m east and 4 m west, your distance is 8 m but your displacement is zero.

Can distance be negative?

No. Distance is a scalar that only accumulates as an object moves, so it's always zero or positive. Displacement is the quantity that can be negative, because vectors in one dimension use opposite signs for opposite directions.

Is distance a scalar or a vector?

Distance is a scalar. The AP Physics 1 CED lists distance and speed as scalar examples, and position, displacement, velocity, and acceleration as vector examples.

Do the kinematics equations use distance or displacement?

They're written in terms of displacement and velocity, which are vectors. In one-dimensional motion that never reverses direction, the magnitude of displacement equals the distance, so you can often use them interchangeably, but that shortcut breaks the moment an object turns around.