K3 — Average Speed and Velocity
A car does the first half at 20 km/h and the second at 60. Almost every student answers 40, and it is wrong — because half the time and half the distance are different journeys.
Master the foundations of statics, kinematics, Newtonian dynamics, work-energy principles, momentum, rotational motion, gravitation, and fluid mechanics with rigorous step-by-step MathJax derivations and advanced practice problems.
A car does the first half at 20 km/h and the second at 60. Almost every student answers 40, and it is wrong — because half the time and half the distance are different journeys.
A diagram is not a picture of the situation. It is a set of physical claims, and every arrow on it can be wrong — which is why a reversed arrow does more damage than a mistyped coefficient.
There is no absolute rest. Every statement about motion carries a frame, whether or not anyone mentions it — and the difference between moving the origin and changing the frame decides what stays the same.
Module 1: Mathematical Foundations · Reflection · read after Foundation 11 Eleven readings on mathematics, and not one of them was physics. This is what they were for. Mahavakya Mathematics gives physics a language precise enough to state relationships that ordinary language can only gesture at. This page may seem to be doing nothing for … Read more
Module 1: Mathematical Foundations · Practice · NEET pattern, timed A full-length practice test: forty questions, forty-five minutes, negative marking. Test conditions Forty questions · 160 marks · 45 minutes · +4 for a correct answer, −1 for a wrong one. That is 67 seconds a question, and the negative marking changes what you should … Read more
Module 1: Mathematical Foundations · Practice · NEET pattern Forty multiple-choice questions across the eleven Foundations, most of them answerable in under twenty seconds. How this set differs A NEET paper allows well under a minute a question. That rewards recognition and elimination over derivation — and most of what Module 1 teaches can be … Read more
Module 1: Mathematical Foundations · Problems · Pre-Main Forty problems for the student who has read the Foundations and has not yet started mechanics. How to use this set These come before the formal mechanics course, and deliberately so. You are not expected to know a large collection of physics formulas. Each problem gives you … Read more
Module 1: Mathematical Foundations · Problems · Set 2 Twelve harder problems, where the difficulty is usually in deciding what to do rather than in doing it. Before you start Do Set 1 first. These assume you can already resolve a vector, take a derivative and evaluate an integral without stopping to think about it, … Read more
Module 1: Mathematical Foundations · Problems · Set 1 Fourteen problems, one or two for each Foundation, in the order the module was written. Before you start There are no answers on this page, and that is deliberate. If you cannot tell whether your answer is right, that is worth knowing — it is a … Read more
Module 1: Mathematical Foundations · Practice · assumes all eleven Foundations Three problems that no single Foundation can solve — where choosing the order of attack is most of the work. What this set is for Every earlier post was organised by Foundation — resolution here, integration there. Examination problems are not. They are set … Read more