Quick Revision

Open this page 30 minutes before your exam. Formula dump. Flashcards. Key concepts. Memory tricks. Everything you need — nothing you don't.

⚡ 30-min Revision All Formulas Flashcards Memory Tricks

🎯 Instructions

Click any formula to copy it. These are ALL the formulas you need. Read through once — then close the page and try to recall from memory.

🔑 Kinematic Equations (Constant Acceleration)

v = u + at

s = ut + ½at²

v² = u² + 2as

s = (u+v)t/2

sₙ = u + a(n−½)

🌍 Free Fall (Up = +ve, g = 10 m/s²)

H_max = u²/2g

t_top = u/g

T_flight = 2u/g

v = u − gt

h = ½gt² (dropped)

v_impact = √(u²+2gH)

🔄 Relative Motion

v_AB = v_A − v_B

a_AB = a_A − a_B

t_meet = d/(v_A+v_B)

t_overtake = d/(v_A−v_B)

📊 Graph Interpretations

Graph	Slope →	Area →
x–t	Velocity (v)	—
v–t	Acceleration (a)	Displacement (s)
a–t	—	Δv (change in velocity)
v²–x	2a (2×acceleration)	—

🔭 Dimensions

v → [LT⁻¹]

a → [LT⁻²]

s → [L]

t → [T]

jerk → [LT⁻³]

⚡ Calculus Kinematics (JEE Advanced)

v = dx/dt

a = dv/dt

a = v·dv/dx

v = ∫a dt

x = ∫v dt

🃏 Flashcard Instructions

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Answer

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🧠 One-Page Concept Summary

📍

Position & Displacement

Displacement = Δx = x_final − x_initial. Can be zero, +ve, or −ve. |displacement| ≤ distance always.

🔄

Velocity vs Speed

Velocity = displacement/time (vector). Speed = distance/time (scalar). Average velocity = 0 for round trip. Speed never = 0 unless stationary.

⚡

Acceleration Direction vs Speed

v and a same direction → speed increases. v and a opposite direction → speed decreases. Negative a ≠ deceleration always.

📐

Kinematic Equations

Valid ONLY for constant acceleration. Choose based on which variable is absent: no t → v²=u²+2as. No v → s=ut+½at². No s → v=u+at.

🌍

Free Fall

Set sign convention ONCE and keep it throughout. At max height: v=0. Return speed = launch speed (no air resistance). Symmetry applies.

📊

Graphs

x-t slope = v. v-t slope = a, v-t area = displacement. Split v-t area at zero-crossing. Parabola in x-t = uniform acceleration.

🔢

nth Second

sₙ = u + a(n−½). From rest: distances in 1st, 2nd, 3rd sec = 1:3:5 ratio. Total distances after 1,2,3 sec = 1:4:9 ratio.

🚂

Relative Motion

v_AB = v_A − v_B. Approaching → relative speed = sum. Same direction → relative speed = difference. At same velocity → relative velocity = 0.

∫

Calculus Kinematics (JEE Adv)

Variable a → integrate. v = ∫a dt. x = ∫v dt. For a=f(x): use v dv/dx = a. Max velocity occurs when a = 0.

🎯 Memory Tricks & Mnemonics

"SUVAT"

Sisplacement, Universe (initial v), Velocity, Acceleration, Time — the 5 variables of kinematics. Any equation uses 3 of these. Missing one = use the equation without that variable.

"No T → v²"

When time is absent: immediately use v² = u² + 2as. This rule covers 40% of all kinematics problems.

"Slope–Area Rule"

x–t: Slope = Velocity
v–t: Slope = Accel, Area = Displacement
a–t: Area = Δv
Remember: "SA-SA-A" (Slope-Area-Slope-Area-Area)

"1–3–5–7"

From rest: distances in successive seconds are in ratio of odd numbers: 1:3:5:7. Visualize staircase of increasing odd jumps.

"Symmetry of Free Fall"

Going up and coming down are mirror images (no air resistance). Time up = time down. Speed at same height = same on way up and down. This saves massive calculation time.

"Same sign = Speed Up"

v and a with SAME sign → speeding up. v and a with OPPOSITE signs → slowing down. Don't think in words (positive/negative). Think in directions.

"v_max when a = 0"

For variable acceleration problems: velocity is maximum at the instant when acceleration = 0. Set a = 0, solve for position or time. This is the JEE Advanced shortcut.

"72 = 20"

72 km/h = 20 m/s (multiply by 5/18). Also: 108 km/h = 30 m/s, 36 km/h = 10 m/s, 18 km/h = 5 m/s. Memorize these — saves 20 seconds per conversion in exam.

🔬 The Ultimate Kinematic Decision Tree

See a kinematics problem → 5-second scan:

1. Is a constant? Yes → use kinematic equations. No → use calculus.
2. What's given? List u, v, s, a, t values.
3. What's absent? The absent variable → choose the equation WITHOUT it.
4. Sign convention? Decide up/down = +/−. Stick to it 100%.
5. Answer unit? Velocity in m/s, displacement in m, time in s. Never forget.

⚡ Last 5 Minutes Before Exam

Open this. Read once. Close eyes. Recall.

Core 5 Equations

v = u + at
s = ut + ½at²
v² = u² + 2as
s = (u+v)t/2
sₙ = u + a(n−½)

Free Fall (Up = +ve)

H = u²/2g
t_top = u/g
T = 2u/g
a = −g = −10 m/s²

Graph Rules

x–t slope = velocity
v–t slope = acceleration
v–t area = displacement
a–t area = Δv

Must-Know Concepts

• v & a same direction → speeds up
• v & a opposite → slows down
• 1:3:5 from rest (nth second)
• 72 km/h = 20 m/s
• v² = u² + 2as (no t!)

❌ Last 3 Mistakes to Avoid Right Now

1. Sign convention: Set it once at the start. Never switch it mid-problem.
2. Variable acceleration: Do NOT use v=u+at unless a is definitely constant.
3. v–t graph area: Always check if graph crosses zero-axis. Split area there.

✅ You're Ready. Remember:

Physics rewards systematic thinking more than memorization. Read the question fully. Identify given variables. Choose the equation. Check the sign. Calculate. Verify the unit. Trust the method — it works.

🏆

Chapter Complete!

You've worked through all 11 pages of Motion in 1D. Now go practice, review weak areas, and dominate your exam.

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