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) xt(x) given measure
Converse (Space) Pace Δt(x)/x given measure
Inverse Inverse speed (time pace) tx(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) xt given measure
Converse (Space) Lenticity Δt/x given measure
Inverse Inverse velocity (time lenticity) tx 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