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What is Velocity?

representation of velocity: A car moving with speed and direction indicators
Illustration showing velocity as both speed and direction

Velocity tells us both how fast something is moving and in what direction it's going. It's different from speed because speed only tells us how fast something is moving, not where it's headed.

Think of a car driving down a highway. If we say the car is moving at 60 miles per hour north, that's velocity. But if we only say it's moving at 60 miles per hour, that's just speed.

Real World Example

Imagine a bird flying at 15 meters per second toward the east. Its velocity is 15 m/s east. If the bird turns and flies west at the same speed, its velocity changes even though its speed stays the same!

Velocity Formula

Diagram showing velocity formula: Velocity = Displacement ÷ Time
Visual representation of the velocity formula

The basic formula for velocity is simple:

Velocity = Displacement ÷ Time
v = d ÷ t

Where:
v is velocity (measured in meters per second, m/s)
d is displacement (how far an object moves in a specific direction)
t is time (measured in seconds)

1

Measure Displacement

Find how far the object moved and in what direction

2

Measure Time

Determine how long it took to move that distance

3

Divide

Divide displacement by time to get velocity

Example Calculation

A train travels 300 meters north in 60 seconds. What is its velocity?

Solution:
Displacement (d) = 300 m north
Time (t) = 60 s
Velocity (v) = d ÷ t = 300 ÷ 60 = 5 m/s north

Types of Velocity

Comparison of average velocity and instantaneous velocity
Illustration comparing average and instantaneous velocity

There are two main types of velocity that scientists use:

Average Velocity

Total displacement divided by total time for a journey

Instantaneous Velocity

Velocity at a specific moment in time

Velocity vs. Speed

It's important to understand the difference between velocity and speed:

Velocity Speed
Includes direction No direction information
Vector quantity Scalar quantity
Can be negative Always positive
Changes with direction Only changes with magnitude

Velocity Formula Quiz

Test your knowledge about velocity with this quiz! Answer all 5 questions to see how much you've learned.

1. What two things does velocity tell us about an object's motion?
2. What is the formula for velocity?
3. A bicycle travels 200 meters west in 40 seconds. What is its velocity?
4. What is the difference between average velocity and instantaneous velocity?
5. Which of these represents velocity?

Frequently Asked Questions

Here are answers to common questions about velocity:

Motion Trivia

Discover some amazing facts about velocity and motion!

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