# Speed, pace and inverses

Legend: x-axis coordinate, x; length interval, Δx; independent length interval, x; t-axis coordinate, t; time interval, Δt; independent time interval, t.

For scalars:

 Rates Speed/Pace Symbols Space Time Ordinary (Time) Speed Δx(t)/t measure given Inverse converse Inverse pace (space speed) x/Δt(x) given measure Converse (Space) Pace Δt(x)/x given measure Inverse Inverse speed (time pace) t/Δx(t) measure given Point Ordinary Instantaneous speed dx(t)/dt given given Inverse converse Puncstanceous speed dx/dt(x) = 1/(dt/dx) given given Converse Puncstanceous pace dt(x)/dx given given Inverse Instantaneous pace dt/dx(t) = 1/(dx/dt) given given

For vectors:

 Rates Velocity/Lenticity Symbols Space Time Ordinary (Time) Velocity Δx/t measure given Inverse converse Inverse lenticity (space velocity) x/Δt given measure Converse (Space) Lenticity Δt/x given measure Inverse Inverse velocity (time lenticity) t/Δx measure given Point Ordinary Instantaneous velocity dx(t)/dt given given Inverse converse Puncstanceous velocity dx/dt(x) = 1/(dt/dx) given given Converse Puncstanceous lenticity dt(x)/dx given given Inverse Instantaneous lenticity dt/dx(t) = 1/(dx/dt) given given