Motion Basics Equations Of Motion Speed Vs Velocity Motion Graphs
Speed vs Velocity: Key Differences with Examples for Class 9 & 10
A Step-by-Step Guide to Mastering Speed vs Velocity
Let’s break this down in the simplest, most practical way possible.
We’ll go through:
- Basic definitions
- Units and formulae
- Real-life examples
- Graphical understanding
- Common misconceptions
- Practice-based learning
1. Definition: What Is Speed? What Is Velocity?
Let’s start from the textbook definitions-but we’ll add clarity.
| Concept |
Speed |
Velocity |
| Meaning |
How fast something is moving |
How fast and in which direction it is moving |
| Type |
Scalar quantity |
Vector quantity (includes direction) |
| Formula |
Speed = Distance ÷ Time |
Velocity = Displacement ÷ Time |
In Simple Words:
- Speed tells you how fast you’re going, but not where.
- Velocity tells you how fast and where you’re going.
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2. Formulae & Units
Let’s look at the units and formulas you need to know for exams:
| Quantity |
Formula |
SI Unit |
| Speed |
Speed = Distance ÷ Time |
m/s (meters per second) |
| Velocity |
Velocity = Displacement ÷ Time |
m/s |
Note: Distance is the total path covered.
Displacement is the shortest straight-line distance from start to end with direction.
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3. Let’s Learn Through a Real-Life Example
Example 1: Walking Around a Park
Imagine you walk around a circular park with a perimeter of 400 meters. You start at point A, walk one full round in 4 minutes, and come back to point A.
- Distance = 400 m
- Displacement = 0 m (because you came back to the same point)
Speed = 400 m / 240 s = 1.67 m/s
Velocity = 0 m / 240 s = 0 m/s
Wait, how can velocity be zero if you're walking?
Because you didn’t change your position. Velocity is all about net displacement, not just motion.
Example 2: Two Cars on a Highway
- Car A moves east at 60 km/h.
- Car B moves west at 60 km/h.
Their speeds are the same.
Their velocities are different because they are in opposite directions.
4. Distance vs Displacement: The Foundation
You cannot master speed and velocity unless you first understand distance vs displacement.
| Aspect |
Distance |
Displacement |
| What it measures |
Total path covered |
Straight-line change in position |
| Type |
Scalar |
Vector (direction matters) |
| Can it be zero? |
Never |
Yes, if you return to starting point |
| Can it be negative? |
No |
Yes, depending on the direction chosen |
Example:
If you walk 5 m forward, then 5 m backward:
- Distance = 10 m
- Displacement = 0 m
That’s the exact reason speed ≠ velocity in such cases.
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5. Common Misconceptions Students Have
Let’s bust a few myths.
Reality: Speed and velocity have the same value only when motion is along a straight line and in one direction without change.
Reality: This is incorrect. Velocity becomes zero because displacement is zero, but speed depends on total distance travelled divided by time.
Reality: Velocity can be negative depending on the chosen direction. If right is taken as positive, motion towards the left gives negative velocity.
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6. Graphical Understanding of Speed and Velocity
Let’s look at a position-time graph:
Uniform Speed / Velocity
- A straight sloping line in a distance-time graph means uniform speed.
- A straight line in a displacement-time graph shows uniform velocity.
- The slope of the line = speed or velocity.
Zero Velocity but Moving?
Imagine a car that goes from point A to point B and comes back to A.
In a displacement-time graph, it starts at 0, goes up, and returns to 0.
Net displacement = 0 -> Average velocity = 0
But total distance ≠ 0 -> So speed ≠ 0
This is often asked in HOTS (Higher Order Thinking Skills) questions in CBSE Class 9 or 10.
7. How to Avoid Mistakes in Exams
Here are five things you can do to always get this right:
Step 1: Ask Yourself-Is Direction Involved?
If yes, you’re probably dealing with velocity, not speed.
Step 2: Identify-Is It Distance or Displacement?
Distance = total path
Displacement = shortest route (with direction)
Step 3: Check Units
Always convert time to seconds and distance to meters in SI.
Step 4: Draw a Rough Sketch
When solving a problem, draw the path. It helps you visualize whether displacement is zero or not.
Step 5: Use Full Formula
Avoid shortcuts like dividing total distance for velocity questions. Always check if the question is asking for net displacement.
8. Real World Applications
Understanding the difference between speed and velocity is not just for exams. It plays a key role in:
| Field |
Application Example |
| Navigation Systems |
GPS calculates velocity to give estimated time of arrival |
| Sports Analytics |
Measuring ball speed vs its directional velocity |
| Physics & Engineering |
Designing vehicles and analyzing motion |
| Aviation |
Velocity vectors help with flight path corrections |
| Space Missions |
Rocket trajectory needs exact velocity calculations |
9. Case Study: Mars Rover Landing (NASA)
NASA’s Perseverance Rover used velocity vector calculations to safely land on Mars.
While the speed told how fast the rover was descending, it was the velocity vector that helped steer the rover to the exact landing spot.
A small error in distinguishing the two could have led to a failed mission.

Speed & Velocity – Frequently Asked Questions
Speed tells us how fast an object is moving. It shows the distance covered in a given time.
For example, if a car covers 60 km in 1 hour, its speed is 60 km/h.
Velocity is the speed of an object in a particular direction.
Speed only tells how fast, but velocity tells how fast and in which direction.
Example: “20 km/h” is speed, but “20 km/h towards north” is velocity.
Formula for speed:
Speed = Distance ÷ Time
Formula for velocity:
Velocity = Displacement ÷ Time
Though the formulas look similar, velocity uses displacement, which includes direction.
The SI unit of both speed and velocity is metre per second (m/s).
In daily life, they are also measured in kilometre per hour (km/h).
Yes. When an object moves and returns to its starting point, its speed is not zero, but its velocity becomes zero because displacement is zero.
Example: A runner completing one full round of a circular track.
Quick Recap Table
| Feature |
Speed |
Velocity |
| Quantity Type |
Scalar |
Vector |
| Requires Direction? |
No |
Yes |
| Formula |
Distance ÷ Time |
Displacement ÷ Time |
| Can be Zero? |
Only if distance = 0 |
Yes, if displacement = 0 |
| Can be Negative? |
No |
Yes |
Understanding the difference between speed and velocity is like understanding the difference between walking in circles and walking toward a destination.
Both involve movement.
But only one gets you somewhere.
So next time you see a Physics question, don’t rush to write “Speed = Distance / Time” blindly. Pause. Think. Ask:
- Is this motion directional?
- What’s the net change in position?
That one moment of clarity can help you avoid confusion, earn full marks, and truly understand motion-the foundation of all Physics.
Why Do Students Confuse Speed and Velocity?
Many students think, “Speed and velocity are the same, right?”
You’re not alone-this confusion is very common.
Both talk about how fast something moves, so the difference feels small.
But in exams, that small difference matters. Students lose marks not because they didn’t study, but because they miss direction, which is what separates velocity from speed.
Even after memorizing formulas, applying them in numericals and graphs becomes difficult without clear understanding.
Once you know what truly makes them different, these questions become easy.
What Happens If You Don’t Understand This?
If you confuse speed and velocity, small mistakes turn into lost marks.
For example, a car goes 100 km north and then 100 km south.
Students easily find the speed, but get velocity wrong because they forget direction.
Some even write the same answer for both - and lose marks in exams.
This confusion doesn’t just affect one question. It impacts:
- Understanding of topics like acceleration and momentum
- Real-life thinking, such as navigation and movement
- Competitive exams, where concepts matter more than memory
Fixing this basic idea early prevents bigger problems later.
Don’t let small misconceptions grow into big problems.
If you want to practice this topic, you can take a quiz in Curious Corner for better practice.
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