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:

RatesSpeed/PaceSymbolsSpaceTime
Ordinary(Time) SpeedΔx(t)/tmeasuregiven
Inverse converseInverse pace (space speed)xt(x)givenmeasure
Converse(Space) PaceΔt(x)/xgivenmeasure
InverseInverse speed (time pace)tx(t)measuregiven
Point
OrdinaryInstantaneous speeddx(t)/dtgivengiven
Inverse conversePuncstanceous speeddx/dt(x) = 1/(dt/dx)givengiven
ConversePuncstanceous pacedt(x)/dxgivengiven
InverseInstantaneous pacedt/dx(t) = 1/(dx/dt)givengiven

For vectors:

RatesVelocity/LenticitySymbolsSpaceTime
Ordinary(Time) VelocityΔx/tmeasuregiven
Inverse converseInverse lenticity (space velocity)xtgivenmeasure
Converse(Space) LenticityΔt/xgivenmeasure
InverseInverse velocity (time lenticity)txmeasuregiven
Point  
OrdinaryInstantaneous velocitydx(t)/dtgivengiven
Inverse conversePuncstanceous velocitydx/dt(x) = 1/(dt/dx)givengiven
ConversePuncstanceous lenticitydt(x)/dxgivengiven
InverseInstantaneous lenticitydt/dx(t) = 1/(dx/dt)givengiven