Distance Covered by Athletes
Calculus
What are the mathematics of tracking athletes? - Explore the mathematical principles and create your own unique investigation.
Introduction
Professional athletes can run over 10 kilometers during a single soccer match, but they don't run in straight lines. GPS tracking technology now allows us to measure every movement, creating fascinating data sets. You can use coordinate geometry, integration, and data analysis to model player movement patterns and calculate total distances, average speeds, and even predict optimal positioning strategies.
Guiding Questions
- A GPS watch records speed every second. How do you get total distance from speed data?
- Use numerical integration on real workout data and compare with the device's own distance.
- How much do GPS errors affect the total? Compare a phone and a watch on the same run.
- Athletes 'cover more ground' in some sports than others. Compare two sports with data and explain the difference.