IIT PHYSICS – LESSON 2
MOTION IN A STRAIGHT LINE
STAGE–4 : IIT PYQs + MIND MAP + HOW TO STUDY
Why Stage–4 Is the Game Changer
This page converts knowledge into rank. Most students study theory and solve problems, but fail in strategy.
🔹 1️⃣ IIT JEE PREVIOUS YEAR QUESTIONS (SOLVED)
PYQ–1 (JEE Main)
Question: A particle moves along a straight line such that its position is given by x = 2t² + 3t + 1. Find its velocity at t = 2 s.
Solution:
Velocity v = dx/dt
v = 4t + 3
At t = 2 s → v = 11 m/s
PYQ–2 (JEE Main)
Question: The slope of velocity–time graph represents?
Answer: Acceleration
Reason: Slope = change in velocity / time
PYQ–3 (JEE Advanced)
Question: A particle moves with velocity v = 6t − 2. Find displacement in first 4 seconds.
Solution:
Displacement = ∫ v dt
= ∫ (6t − 2) dt
= 3t² − 2t
From 0 to 4:
= (3×16 − 8) − 0 = 40 m
PYQ–4 (JEE Advanced)
Question: A particle has zero velocity at an instant. Is it necessarily at rest?
Answer:
No. A particle may have zero velocity momentarily but still be in motion (for example, at the highest point of vertical motion).
2️⃣ CONCEPT MIND MAP (RANK-ORIENTED)
- Position x(t)
- Defines motion
- Slope → velocity
- Velocity v(t)
- Rate of change of position
- Slope → acceleration
- Area → displacement
- Acceleration a(t)
- Rate of change of velocity
- Area → change in velocity
- Graphs
- x–t → slope = velocity
- v–t → slope = acceleration
- a–t → area = Δv
- Equations of Motion
- Only for constant acceleration
📘 3️⃣ HOW TO STUDY THIS CHAPTER (IIT METHOD)
| Phase | What to Do | Why |
|---|---|---|
| Concept | Understand x–t, v–t, a–t relations | Avoid formula confusion |
| Practice | Solve graph-based problems daily | High IIT weightage |
| PYQs | Minimum 10 PYQs | Exam pattern clarity |
| Revision | Mind map + formula recall | Fast retention |
4️⃣ COMMON RANK-DESTROYING MISTAKES
- Using equations when acceleration is variable
- Confusing slope and area in graphs
- Ignoring sign convention
- Skipping graph questions
FINAL MESSAGE TO STUDENTS
If you master graphs + PYQs + revision strategy, this chapter alone can give you full marks confidence in Mechanics.
LESSON–2 COMPLETE (ALL 4 STAGES)
NEXT LESSON: MOTION IN A PLANE
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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