LESSON–3 : MOTION IN A PLANE

ADDITIONAL MATERIALS – 9 (PART–5)
FINAL RECAP – FORMULAS • TRICKS • METHODS • EXAMINER VIEW

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📌 1. COMPLETE FORMULA RECAP (MUST MEMORIZE)

🔹 Vector Basics

• Magnitude: |A| = √(A_x² + A_y²)
• Angle: tanθ = A_y / A_x
• Dot product: A·B = ABcosθ

🔹 Projectile Motion

• Time of flight: T = (2u sinθ) / g
• Maximum height: H = (u² sin²θ) / (2g)
• Range: R = (u² sin2θ) / g
• Horizontal velocity: u_x = u cosθ (constant)
• Vertical velocity: u_y = u sinθ − gt

🔹 Horizontal Projection

• Time of fall: t = √(2h / g)
• Horizontal distance: x = ut

🔹 Relative Velocity

• Same direction: v = v₁ − v₂
• Opposite direction: v = v₁ + v₂
• Perpendicular: v = √(v₁² + v₂²)

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🎯 2. ALL IMPORTANT TRICKS (TOPPER SECRETS)

• Same height → same speed (energy rule)
• Complementary angles → same range
• Highest point → v_y = 0, NOT acceleration
• Horizontal motion does NOT affect time of fall
• Speed at projection = speed at landing (same level)
• (a, b) ⟂ (b, −a)
• Perpendicular velocities → Pythagoras directly

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🧠 3. METHOD SELECTION TABLE (MOST IMPORTANT)

Question Type	Best Method
Speed at height	Energy conservation
Time of fall	Vertical motion only
Range comparison	Symmetry / sin2θ
Relative velocity	Vector subtraction / geometry
Direction of velocity	Component method

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✍️ 4. PERFECT PROBLEM SOLVING PROCEDURE

1. Read the question twice
2. Draw a rough diagram (even for MCQ)
3. Resolve motion into x and y components
4. Decide the fastest method (table above)
5. Solve neatly step-by-step
6. Check units and physical meaning

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👀 5. EXAMINER VIEW (VERY VERY IMPORTANT)

What examiner expects:

• Correct method, not long calculation
• Clear logic and correct formula
• Neat steps and proper symbols
• No wrong assumptions (like a = 0)

Common mistakes examiner punishes:

• Forgetting acceleration at highest point
• Mixing x and y equations
• Using wrong method (time instead of energy)
• Skipping diagrams

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🏆 FINAL TOPPER ADVICE

If you remember:
✔ Formulas ✔ Tricks ✔ Method selection ✔ Examiner mindset

Motion in a Plane becomes a GUARANTEED SCORING CHAPTER in Intermediate, JEE Main & JEE Advanced.

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✅ ADDITIONAL MATERIALS – 9 (PART–5) COMPLETED
(FINAL RECAP & EXAMINER VIEW)

Intermediate Physics Complete Notes – IIT JEE & Board Exams

This page contains complete Intermediate Physics notes along with IIT JEE materials, previous year questions, solved problems, diagrams, and exam strategies.

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📘 Lesson 1: Units and Measurements

• Complete Notes
• Important Questions

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📘 Lesson 2: Motion in a Straight Line

• Complete Notes
• Important Questions
• IIT JEE Material
• IIT JEE PYQs & Strategy
• Diagrams

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📘 Lesson 3: Motion in a Plane

• Part 1
• Part 2
• Part 3
• Part 4
• Part 5
• Part 6
• Part 7
• Part 8
• Part 9
• Part 10
• Part 11
• Part 12
• Part 13
• Part 14
• Part 15
• Part 16
• Part 17

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 This page is updated regularly with new lessons.