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Polar coordinates are rarely taught properly in school — yet they make many JEE Advanced and Physics Olympiad problems dramatically simpler. In this video, we build the complete kinematics and dynamics of motion in plane polar coordinates, starting from why we need them, all the way to solving a JEE Advanced level problem. 📌 What this video covers Why Cartesian coordinates fail for many mechanics problems Plane polar coordinates and coordinate transformations Position vector in polar coordinates Polar basis vectors Time derivatives of unit vectors (geometric explanation) Velocity in polar coordinates Acceleration in polar coordinates Radial acceleration Centripetal term Azimuthal (transverse) acceleration Coriolis term and its physical meaning Application to a JEE Advanced problem 🎯 Who is this video for? Students preparing for JEE Advanced Students aiming for Physics Olympiads (INPhO / IPhO) Anyone curious about learning physics beyond the classroom Students who want to understand where formulas come from, not just use them 🔥 Why you should learn this Many advanced mechanics problems become natural and intuitive when solved in polar coordinates instead of forcing Cartesian methods. This is not extra math — it’s the right language for the problem. 📘 Worksheets & additional problems will be posted on Telegram (Links in comments / description soon) 📺 Subscribe for more advanced mechanics, electromagnetism, and Olympiad-level physics explained from first principles. Channel: Theoretical Trails #jeeadvanced #ipho #inpho #olympiad #physicsolympiad #polarcoordinates