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What is Velocity?

Velocity includes both how fast something moves and its direction
Velocity includes both how fast something moves and its direction

Velocity is a measurement of how fast something is moving AND in what direction. It's different from speed because velocity includes direction, while speed is just how fast something moves.

Think of velocity like giving someone directions: "Walk 3 miles per hour toward the school" is velocity, while "Walk 3 miles per hour" is just speed. Scientists call velocity a vector quantity because it has both size (the speed) and direction.

Speed vs. Velocity

Comparison of speed (scalar) and velocity (vector) quantities
Comparison of speed (scalar) and velocity (vector) quantities

While speed and velocity are related, they're not the same thing. Here's the key difference:

1

Speed

How fast an object is moving (just a number)

Example: 50 km/h

2

Velocity

How fast AND in what direction

Example: 50 km/h North

Speed is called a scalar quantity because it only has magnitude (size). Velocity is a vector quantity because it has both magnitude and direction.

This means an object can have constant speed but changing velocity if it changes direction. For example, a car driving in circles at a steady 30 mph has constant speed but changing velocity because its direction keeps changing.

Calculating Velocity

To calculate velocity, we use this formula:

Velocity = Displacement ÷ Time

Displacement is different from distance. Distance is how far something has traveled, while displacement is the change in position from start to finish, including direction.

1

Measure Displacement

Find the change in position with direction (e.g., 50 meters East)

2

Measure Time

Determine how long it took (e.g., 10 seconds)

3

Calculate

Divide displacement by time (50 m East ÷ 10 s = 5 m/s East)

Remember: Velocity must always include units and direction. Common units for velocity include meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph).

Real World Examples

Velocity is all around us in everyday life
Velocity is all around us in everyday life

We encounter velocity every day in many situations. Here are some common examples:

Driving a Car

When you say "I'm driving 65 mph North on the highway," you're describing velocity.

Weather Forecasts

Meteorologists report wind velocity, such as "15 mph from the West."

Sports

A baseball pitcher throws a fastball with velocity of 95 mph toward home plate.

Other examples include:
• A bird migrating south at 25 mph
• A rocket launching upward at 7,000 m/s
• A swimmer moving at 2 m/s toward the wall
• A hurricane moving northwest at 10 mph

In each case, both the speed and direction are important for understanding the complete picture of motion.

Velocity Quiz

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

1. What two things does velocity describe about motion?
2. Which of these is an example of velocity?
3. What is the formula for calculating velocity?
4. If a car travels 120 kilometers North in 2 hours, what is its velocity?
5. How is velocity different from speed?

Frequently Asked Questions

Here are answers to some common questions about velocity:

Fun Velocity Trivia

Discover some amazing facts about velocity!

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