Doubtify – JEE Ki Taiyaari, Simple Bhasha Mein

  🚴 Velocity-Displacement Graph of a Bicycle | Find the Acceleration-Displacement Graph | Motion in 1D – Doubtify JEE 📌 Question : The velocity-displacement graph describing the motion of a bicycle is shown in the figure. What will the corresponding acceleration-displacement graph look like? 🎯 Concept Tested: This question tests your graphical understanding of motion — a frequently asked and often misunderstood area in JEE Mains and Advanced . It focuses on converting one type of graph (v-s) into another (a-s) using calculus concepts. 🔍 How to Approach: If you're given a velocity-displacement (v-s) graph , and you need to find the acceleration-displacement (a-s) graph , you must apply: a = v ⋅ d v d s a = v \cdot \frac{dv}{ds} This is derived from the chain rule: a = d v d t = d v d s ⋅ d s d t = v ⋅ d v d s a = \frac{dv}{dt} = \frac{dv}{ds} \cdot \frac{ds}{dt} = v \cdot \frac{dv}{ds} Depending on the slope of the v-s graph: If velocity increases with displaceme...