01 — Purpose of the Laboratory
This laboratory examines velocity as the value of motion and travelling distance as the quantity of motion. It explores how both are represented through successive operations of an object.
02 — Fundamental Velocity Relationship
The M4NA framework proposes a direct relationship between the applied-force value and the corresponding velocity value.
Where:
- f = applied-force value
- k = proportionality constant
- v = velocity value
Travelling distance for an operation is represented by its velocity value multiplied by its duration.
03 — Interactive Velocity Calculator
Enter the velocity value and duration for each operation. The calculator will determine the corresponding applied-force value and actual travelling distance.
| Operation | Velocity (v) | Duration (t) | Force Value (f) | Distance (s) | Action |
|---|
Velocity Pattern Analysis
Enter operation values to begin.
Awaiting DataAll calculations follow the proposed M4NA relationships. Enter non-negative velocity values and positive or zero operation durations.
04 — Successive Velocity Patterns
Increasing Velocity
The velocity value increases from one operation to the next.
Unchanged Velocity
The velocity value remains unchanged through successive operations.
Decreasing Velocity
The velocity value decreases from one operation to the next.
Mixed Velocity Pattern
The velocity value changes in different ways across successive operations.
05 — Velocity, Distance and Time
Each operation contributes its own travelling distance. The total travelling distance is obtained by adding the distances from all operations.
The average velocity value represents the total travelling distance divided by the total duration of the recorded operations.
06 — M4NA Mathematical Expressions
07 — Research Perspective
The laboratory focuses on the operational relationship between velocity values, travelling distances and time. It records the individual values for each operation rather than treating a complete journey as one undifferentiated event.