📚 Key Concepts
Position, displacement, distanceSpeed and velocityAverage and instantaneous quantitiesAccelerationUniform and non-uniform motionRelative motionGraphical analysis
🎯 Key Formulas
Average velocity = Δx/ΔtInstantaneous velocity = dx/dtAverage acceleration = Δv/ΔtInstantaneous acceleration = dv/dtFor uniform acceleration:v = u + at; s = ut + ½at²; v² = u² + 2as; xₙ = x₀ + v₀t + ½at²Area under v-t graph = displacementSlope of x-t graph = velocitySlope of v-t graph = acceleration⚠️ Common Mistakes to Avoid
Confusing distance and displacementMixing average and instantaneous valuesSign errors in equationsWrong graph interpretationIncorrect initial conditions
📖 Knowledge Prerequisites
Basic calculus concepts (limits, derivatives)Vector fundamentalsGraph plotting and analysisBasic algebra and equationsSI units and conversionsSign conventionsReference frame concepts💡 Tips for Students
Draw diagrams for every problemChoose proper reference frameCheck units throughout solutionUse graphs to visualize motionWrite known quantities firstCheck reasonableness of answerPractice sign conventionsMaster basic equations before complex onesUnderstand physical meaning behind formulasLearn to interpret motion graphs
👉 Practice Recommedations
Graph sketching exercisesFree fall problemsRelative motion scenariosSign convention practiceUnit conversion problemsGraph interpretation questionsInitial condition problemsCombined motion problemsReal-world application questionsNumerical and conceptual problems
Practice each question with a timer and get instant feedback
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