Geometric Demo of Position, Displacement and Velocity Vectors

This example visually links position vectors, displacement vectors, and velocity vectors in a single interactive geometry scene, illustrating how motion-related vector quantities relate to one another. It focuses on vector fundamentals (direction and magnitude), the vector meaning of displacement, and the geometric interpretation of velocity as an instantaneous change. The construction uses GeoGebra’s Intersect to determine key intersection points that define the position-related geometry (e.g., points such as A, B, O and auxiliary reference objects). Vector commands build the position/relative/displacement/velocity vector objects, while Tangent is used to construct a tangent line that represents the instantaneous direction associated with velocity. The included objects (such as s, f, t, B, O, A, and derived vectors like rA, rB, rD, g, Vm) show a step-by-step transition from point position vectors to displacement and velocity representations. Suitable for middle school through early university, especially for teaching and learning vector kinematics and connecting algebraic vector ideas with geometric visualization.