IIT PHYSICS – LESSON 3
MOTION IN A PLANE
STAGE–4 : IIT PYQs + MIND MAP + HOW TO STUDY
Why Stage–4 Is Crucial for IIT Rank
Most students stop after learning formulas. IIT rankers go one step further — they master:
- Previous Year Questions (PYQs)
- Concept connections
- Speed + accuracy strategy
🔹 1️⃣ IIT JEE PREVIOUS YEAR QUESTIONS (SOLVED)
PYQ–1 (JEE Main)
Question:
A particle is projected with speed 10 m/s at an angle of 30° to the horizontal.
Find its horizontal range. (g = 10 m/s²)
Solution:
Range, R = (u² sin2θ) / g
= (100 × sin60°) / 10
= (100 × √3/2) / 10
= 5√3 m
PYQ–2 (JEE Main)
Question:
Find the magnitude of the vector A = 3î − 4ĵ.
Solution:
|A| = √(3² + 4²) = 5
PYQ–3 (JEE Advanced)
Question:
Two projectiles are projected with same speed at angles θ and (90° − θ).
Compare their times of flight.
Solution:
Time of flight, T = (2u sinθ) / g
For second projectile: T = (2u cosθ) / g
Conclusion:
Times of flight are different unless θ = 45°.
PYQ–4 (JEE Advanced – Conceptual)
Question:
At the highest point of a projectile, is acceleration zero?
Answer:
No. Acceleration is always equal to g and acts vertically downward, even at the highest point.
2️⃣ CONCEPT MIND MAP (FAST REVISION)
- Vectors
- Magnitude & direction
- Resolution into components
- Velocity in a Plane
- v = √(vx² + vy²)
- Direction from tanθ = vy/vx
- Projectile Motion
- Independent x and y motion
- Parabolic trajectory
- Time of flight, range, height
- Relative Velocity
- vAB = vA − vB
- Vector subtraction
📘 3️⃣ HOW TO STUDY THIS CHAPTER (IIT METHOD)
| Phase | What to Do | Purpose |
|---|---|---|
| Concept | Master vector basics & diagrams | Avoid confusion |
| Practice | Solve 20–30 projectile problems | Speed building |
| PYQs | Solve last 15 years PYQs | Pattern recognition |
| Revision | Mind map + formula sheet | Long-term retention |
4️⃣ COMMON IIT MISTAKES
- Ignoring vector direction
- Mixing up sinθ and cosθ
- Forgetting g acts downward always
- Skipping diagram while solving problems
FINAL MESSAGE
If vectors and projectile motion become natural to you, Mechanics becomes your strength.
NEXT: STAGE–5 – NECESSARY DIAGRAMS (WITH PLACEHOLDERS)
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.
📘 Lesson 1: Units and Measurements
📘 Lesson 2: Motion in a Straight Line
📘 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
📌 This page is updated regularly with new lessons.
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