iSoul In the beginning is reality

# Terms for rates of motion

The scalar space of a motion is the arc length along the curve it traces out. The scalar time of a motion is the travel time along the route it traces out.

The time rate is “The rate at which something takes place over time.” The space rate is the rate at which something takes time over a route.

A quantity at an instant of time is instantaneous. A quantity at a point in space is punctaneous, from Latin punct(us) + (instant)aneous.

Speed is the time rate of motion, the scalar space per unit of scalar time. The speed at an instant of time is called the instantaneous speed, which equals the differential scalar space per differential scalar time or the magnitude of the instantaneous velocity.

Pace is the space rate of motion, the scalar time per unit of scalar space. The pace at a point of space is called the punctaneous pace, which equals the differential scalar space per differential scalar time or the magnitude of the punctaneous legerity. A gradient is the space rate of change of a function or scalar field.

Displacement is the directed distance or vector difference between two points in three-dimensional space. Distimement is the directed duration or vector difference between two instants in three-dimensional time.

Velocity is the time rate of change of distimement, which consists of the speed and direction of motion. The average velocity is the displacement per scalar time of motion. The velocity at an instant of time is called the instantaneous velocity, and is the differential displacement per differential scalar time. The instantaneous velocity equals the time rate of change of the displacement.

Legerity is the space rate of change of distimement, which consists of the pace and direction of motion. Legerity is the rate of progress on a trajectory or path. The average legerity is the distimement per scalar space of motion. The legerity at a point of space is called the punctaneous legerity, and is the differential distimement per differential scalar space. Cf. velocity.

Acceleration is the time rate of change of velocity. Expedience is the space rate of change of legerity.

The first moment of mass is mass times distance. The momentum is the time rate of change of the first moment of mass. The first moment of vass is vass times duration. The space rate of change of the first moment of vass is the fulmentum, from Latin for prop, support.

Power is the time rate of change of energy. Force is the space rate of change of energy.