01 — Purpose of the Laboratory
This laboratory examines the nature of acceleration by observing how the velocity values and travelling distances of an object change through successive operations.
02 — Fundamental Relationship
The M4NA framework proposes a relationship between the applied-force value and the corresponding velocity value.
Where:
- f = applied-force value
- k = proportionality constant
- v = corresponding velocity value
By comparing successive velocity values, the laboratory identifies increasing, decreasing, unchanged and mixed motion patterns.
03 — Interactive Acceleration Analysis
Enter the applied-force values and operation durations. The calculator will determine the corresponding velocity values and travelling distances under the M4NA relationship.
| Operation | Force Value (f) | Duration (t) | Velocity (v) | Distance (s) | Action |
|---|
Successive Motion Pattern
Enter operation values to examine the motion pattern.
Awaiting DataCalculator results are mathematical outputs based on the proposed M4NA relationship and the values entered.
04 — Understanding the Motion Patterns
Increasing Pattern
Successive velocity values increase from one operation to the next.
Decreasing Pattern
Successive velocity values decrease from one operation to the next.
Unchanged Pattern
The velocity value remains unchanged through successive operations.
Mixed Pattern
The velocity values increase and decrease at different stages of successive operations.
05 — M4NA Mathematical Expressions
These expressions are presented as relationships within the proposed M4NA framework.
06 — Research Perspective
The purpose of this laboratory is to examine motion patterns rather than relying only on a single initial and final velocity value. Each operation contributes its own force value, velocity value, duration and travelling distance.
Comparing successive operations provides a structured way to examine how the proposed applied-force relationship corresponds to changes in motion.