Position · trajectory · reference frame

Motion

Start with one-dimensional change, expand the same kinematic language into two dimensions, then learn how every measurement depends on a chosen observer.

Motion throughline

A motion is a history measured from a frame.

Kinematics builds the language of change. Projectile motion shows that the same language works independently along multiple axes. Relative motion reminds us that coordinates and velocities are always measurements from a chosen frame.

describe changecombine axeschange observer
same modeling languagegrowing context
1D
x → v → a
2D
x(t) + y(t)
frame
observer changes
Learning path

Keep the model, change what the model must handle.

Each lesson adds one new complication without discarding the language built before it.

One clock

Every coordinate component and every observer describes the same event sequence in time.

Multiple representations

Trajectories, component graphs, equations, and vectors should all agree because they encode one shared state.

Chosen reference

Coordinates and velocities change with the frame, but the physical event being modeled does not disappear.