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: scalar vs vector; path length vs shortest path Speed vs Velocity: rate vs rate with direction; average speed ≥ |average velocity| SUVAT equations: v = u + at; s = ut + ½at²; v² = u² + 2as; s = (u+v)t/2 Acceleration: a = (v-u)/t; uniform (constant a) vs non-uniform ⚡ Exam tip: SUVAT questions appear in almost every NEET/JEE paper

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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 Kinematics equations (SUVAT) for constant acceleration in a straight line Graphical analysis: slope of position-time = velocity; area under velocity-time = displacement Relative motion: v_AB = v_A - v_B; when approaching, relative velocity is sum Free fall: a = g = 9.8 m/s² (downward); sign convention is critical Ball thrown upward: at maximum height, v = 0, a = -g still acting

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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 to get equations Position-time graph: slope = velocity; curve = non-uniform; tangent = instantaneous velocity Velocity-time graph: slope = acceleration; area = displacement Non-uniform acceleration: use calculus (integrate a(t) to get v(t), integrate v(t) to get s(t)) Relative velocity in 1D: v_AB = v_A - v_B; v_BA = -v_AB; always state reference frame Free fall with air resistance (extended): m(dv/dt) = mg - kv; terminal velocity v_t = mg/k Numericals: overtaking problems, stone dropped from moving vehicle, two stones thrown from building

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