Related Rates
by Anonymous
See how one rate of change drives another as a ladder slips and a balloon inflates.
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About this app
Related Rates is an interactive calculus practice app that shows how connected quantities change together. Explore a sliding ladder, an expanding balloon, and a filling cone-shaped tank while adjusting a measurement and observing the resulting rate of change. Guided missions help learners connect geometric equations with derivatives such as dx/dt, dy/dt, dV/dt, and dh/dt.
Use cases
- High school students practicing related-rates problems
- Teachers demonstrating derivatives with visual examples
- Learners exploring how geometry affects changing rates
- Math classes reviewing ladder, sphere, and cone models
Features
- Three interactive scenarios: ladder, balloon, and cone tank
- Step controls for changing distance, radius, or water height
- Displays calculated related rates and linked quantities
- Balloon mode can hold dr/dt or dV/dt fixed
- Guided missions with reset, next, and completion feedback