Shine NEET Smart Prep

MOTION GRAPHS MASTER GUIDE

Position • Velocity • Acceleration

📍

Position–Time Graph

Shows where the object is at different times

📐 Slope = Velocity

━ Straight line → constant velocity

⌢ Curved line → changing velocity
🚗

Velocity–Time Graph

Shows how fast & direction object moves

📐 Slope = Acceleration

📊 Area = Displacement

Essential for understanding motion!
🚀

Acceleration–Time Graph

Shows how velocity changes

━ Flat line → constant acceleration

⎯ Line on zero → no acceleration

Key to understanding forces!

⭐ GOLDEN RULES ⭐

Rule #1

Slope of x–t graph gives you velocity (v)

Rule #2

Slope of v–t graph gives you acceleration (a)

Rule #3

Flat graph means no change

Rule #4

Curved graph means something is changing

🎯 6 MOTION CASES 🎯

01

Object at Rest

💤 Position does not change

🔄 Velocity = 0

⚡ Acceleration = 0

Position–Time
Velocity–Time
Acceleration–Time
💡 Key Insight:

Flat x–t → zero slope → velocity is zero.
Flat v–t at zero → no acceleration.
Everything is still!

02

Constant Positive Velocity

➡️ Object moves forward steadily

🔄 Velocity constant

⚡ Acceleration zero

Position–Time
Velocity–Time
Acceleration–Time
💡 Key Insight:

Straight slanted x–t → constant velocity.
Flat v–t → no acceleration.
Like cruise control!

03

Constant Negative Velocity

⬅️ Moving backward steadily

🔄 Velocity constant (negative)

⚡ Acceleration zero

Position–Time
Velocity–Time
Acceleration–Time
💡 Key Insight:

Downward slope → negative velocity. Still no acceleration.
Car reversing at constant speed!

04

Uniform Acceleration

🚀 Velocity increases steadily

🔄 Speed getting faster

⚡ Acceleration constant & positive

Position–Time
Velocity–Time
Acceleration–Time
💡 Key Insight:

Curved x–t (getting steeper) → velocity increasing.
Straight rising v–t → constant acceleration.
Rocket launching!

05

Uniform Deceleration

🛑 Velocity decreases steadily

🔄 Slowing down

⚡ Acceleration negative

Position–Time
Velocity–Time
Acceleration–Time
💡 Key Insight:

Curve becomes less steep → velocity decreasing.
v–t slopes downward → negative acceleration.
Car braking!

06

Changing Acceleration

🌀 Complex motion

🔄 Acceleration changes over time

⚡ Most realistic motion!

Position–Time
Velocity–Time
Acceleration–Time
💡 Key Insight:

Irregular x–t → changing velocity.
Curved v–t → changing acceleration.
Real-world motion like car in traffic!

🧠 STUDENT SUPER TRICK 🧠

If you're given ONE graph, you can draw the other two easily!

1️⃣

Look at the slope of the graph

2️⃣

Ask yourself:

• Is slope constant?
• Is slope increasing?
• Is slope zero?

3️⃣

Apply the Golden Rules to transform one graph into another!