Motion in 1D

🟢 Lite — Quick Review (1h–1d)

Rapid summary for last-minute revision before your exam.

Motion in 1D — Key Facts Distance vs Displacement: distance = path length (scalar, always ≥ 0); displacement = shortest path (vector, can be +ve/−ve) Speed vs Velocity: speed = distance/time (scalar, always positive); velocity = displacement/time (vector, has direction) Average speed ≥ |average velocity|; they are equal only when motion is in one direction without reversal SUVAT equations (for constant acceleration): v = u + at; s = ut + ½at²; v² = u² + 2as; s = (u + v)t/2; s = vt − ½at² Acceleration: a = (v − u)/t; uniform (constant a) vs non-uniform (a changes with time) ⚡ Exam tip: SUVAT questions appear in almost every NEET/JEE Main paper — identify which variables are given and pick the right equation!

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🟡 Standard — Regular Study (2d–2mo)

Standard content for students with a few days to months.

Motion in 1D — NEET/JEE Study Guide SUVAT equations applications: label u (initial velocity), v (final velocity), a (acceleration), s (displacement), t (time) — never mix these up Graphical analysis — position-time (x-t): slope = velocity; curve = non-uniform acceleration; tangent slope = instantaneous velocity Graphical analysis — velocity-time (v-t): slope = acceleration; area under curve = displacement; intercept = initial velocity Relative velocity in 1D: v_AB = v_A − v_B; when two objects approach each other, relative velocity = sum of speeds Free fall: a = g = 9.8 m/s² downward (toward Earth’s centre); sign convention: take downward = +g or upward = +g — be consistent! Ball thrown upward: at maximum height, v = 0 momentarily; a = −g still acting (always); time to max height = u/g Sign convention: decide positive direction at start — normally upward for vertical motion; stick to it throughout ⚡ Exam tip: NEET frequently tests sign conventions — if a ball is thrown upward with u = 20 m/s, at max height v = 0, a = −9.8 m/s²

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🔴 Extended — Deep Study (3mo+)

Comprehensive coverage for students on a longer study timeline.

Motion in 1D — Comprehensive Notes Derivation of SUVAT from calculus: v = ds/dt, a = dv/dt = d²s/dt²; integrate acceleration to get velocity, integrate again to get displacement Instantaneous velocity: slope of tangent to x-t curve; v = lim(Δt→0) Δx/Δt = dx/dt Position-time equation for constant acceleration: s = ut + ½at² (integrating v = u + at) Non-uniform acceleration: integrate a(t) to get v(t), integrate v(t) to get s(t); calculus required Velocity-time equation: v = u + at (integrating a = constant); substitute into s = (u+v)t/2 to derive s = ut + ½at² Free fall with air resistance (extended): m(dv/dt) = mg − kv; terminal velocity v_t = mg/k; velocity approaches v_t asymptotically Relative velocity: always state reference frame explicitly; v_AB = −v_BA; in 1D approaching, v_rel = v_A + v_B Overtaking problems: relative velocity = difference in speeds; time to overtake = length of both vehicles / relative speed Stone dropped from moving vehicle: horizontal motion continues at vehicle’s speed; vertical motion starts from rest — independent perpendicular motions Two stones thrown from building: one dropped (u=0), one thrown horizontally — both hit ground simultaneously regardless of horizontal velocity Numericals pattern: NEET/JEE often gives two objects with different u, a, t — use relative motion or individual SUVAT for each ⚡ NEET/JEE tip: Watch for unit mismatches — convert all to m/s, kg, seconds before substituting into equations!

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📊 NEET UG Exam Essentials

Detail	Value
Questions	200 (180 mandatory + 10 optional)
Time	3h 20min
Marks	720
Section	Physics (50), Chemistry (50), Biology (100)
Negative	−1 for wrong answer
Qualifying	50th percentile (general category)

🎯 High-Yield Topics for NEET UG

• Human Physiology — 18 marks
• Genetics & Evolution — 16 marks
• Ecology & Environment — 12 marks
• Organic Chemistry (Reactions) — 15 marks
• Electrodynamics (Physics) — 18 marks
• Chemical Equilibrium — 10 marks

📝 Previous Year Question Patterns

• Q: “A particle moves in a circle…” [2024 Physics — 2 marks]
• Q: “Identify the incorrect statement about DNA…” [2024 Biology — 4 marks]
• Q: “The major product ofFriedel-Crafts acylation is…” [2024 Chemistry — 3 marks]

💡 Pro Tips

• NCERT Biology is the single most important resource — 80%+ questions are from NCERT lines
• Focus on Human Physiology, Genetics, and Ecology — together they make ~40% of Biology
• In Physics, master Electrostatics + Current Electricity + Magnetism (combined ~20%)
• Organic Chemistry: learn named reactions with mechanisms — they repeat across years

🔗 Official Resources

• NTA Official
• NEET Syllabus PDF

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