Race: Integral Calculus and Linear Functions Dynamic Simulation

This GeoGebra example simulates a car race between an orange car and a black car, demonstrating how integral calculus and linear functions model motion. The core mathematical concepts include linear functions representing speed over time, and integrals computing displacement (distance traveled). The construction uses Text commands for dynamic labels, variables like OrangeSpeed and BlackSpeed for velocities, start points (OrangeStartPoint, BlackStartPoint), and buttons (button1, button2, button3) to control the animation. Geometric objects such as circles and ellipses decorate the track. Suitable for high school or early college students, this example helps visualize the connection between integration, linear functions, and real-world kinematics, and can serve as an engaging teaching tool for calculus or physics.