mythribanda/EduSim ? reverse-engineered prompt

Build me an interactive physics learning app for students and teachers.

I want a clean web app where someone can ask a physics question, chat with an AI tutor that explains things step by step, search through textbook PDFs for relevant passages, and pull out formulas automatically when needed. It should also include a live 2D physics sandbox where users can try scenarios, change values, and see the results update in real time.

Please make it feel like a real learning tool, not just a chatbot. Add user accounts, saved history, and a way to keep track of past simulations and settings. I also want a simple way to browse lesson topics by class or subject, generate practice questions, and export or replay simulations later.

If anything is unclear, check the current docs or look up what you need online before building.