Perfectly Elastic Collisions of Objects A, B, and C

Perfectly Elastic Collisions of Objects A, B, and C is an interactive GeoGebra applet that models the physics of perfectly elastic collisions among three objects labeled A, B, and C on a one-dimensional plane. The applet allows students to observe how momentum and kinetic energy are conserved during successive collision events, providing a dynamic visual reinforcement of classical mechanics principles. The simulation employs GeoGebra's vector tools to represent velocity before and after each collision, distance measurements to track positional changes, and angle and segment displays to illustrate the geometric relationships governing collision dynamics. Users can watch in real time as Object A, Object B, and Object C approach, collide, and rebound according to the laws of conservation of momentum and conservation of kinetic energy. The velocities are represented as directed line segments whose magnitudes correspond to speed and whose orientations indicate direction of motion. Key learning outcomes include understanding that in a perfectly elastic collision, the total momentum of the system remains constant before and after impact, and the total kinetic energy is also preserved. Students can compare the pre-collision and post-collision states by examining the vector arrows attached to each object, observing how the transfer of energy and momentum between objects follows predictable mathematical relationships. The applet supports conceptual connections between algebraic formulas and geometric representations, enabling learners to see that conservation equations have direct visual counterparts on the coordinate plane. This interactive environment is particularly valuable for physics and mathematics students encountering elastic collisions for the first time. By manipulating parameters or stepping through collision sequences, users develop intuition for how mass ratios, initial velocities, and collision angles affect the outcomes. The visual clarity of vector diagrams and distance tracking helps bridge abstract equations with concrete physical behavior, making this applet an effective teaching tool for classical mechanics curricula.