1D Kinematics

Displacement

The change in position of an object. It is a vector quantity, represented by Δx.

Velocity

The rate of change of displacement. It is a vector quantity, represented by v.

Speed

The rate of change of distance. It is a scalar quantity, represented by s.

Acceleration

The rate of change of velocity. It is a vector quantity, represented by a.

Constant Velocity

Δx = v * Δt

Average Velocity

v_avg = Δx / Δt

Constant Acceleration

Δx = v_i * Δt + (1/2) * a * Δt^2

Free Fall

Δx = v_i * Δt + (1/2) * g * Δt^2

Position-Time Graph

Shows how an object's position changes over time. Slope represents velocity.

Velocity-Time Graph

Shows how an object's velocity changes over time. Slope represents acceleration.