π What is Speed?
Speed tells us how fast something is moving. It doesn't care about direction. Think of it like this: if you're driving a car, the speedometer shows your speed. It only tells you how many miles per hour you're going, not where you're going.
- π Definition: Speed is the rate at which an object is moving.
- π’ Formula: Speed = Distance / Time. We can write this as $s = \frac{d}{t}$
- π Example: A car traveling 60 miles per hour.
- β±οΈ Units: Meters per second (m/s) or miles per hour (mph).
- β Scalar: Speed is a scalar quantity. This means it only has magnitude (a value), not direction.
π What is Velocity?
Velocity, on the other hand, is speed with a direction. So, it tells us not only how fast something is moving but also in what direction it's moving. Imagine telling someone how to get to your house - you need to tell them how far to go *and* which way to go!
- π§ Definition: Velocity is the rate at which an object changes its position.
- π Formula: Velocity = Displacement / Time. We can write this as $v = \frac{\Delta x}{t}$, where $\Delta x$ is the displacement.
- βοΈ Example: An airplane flying 500 mph due north.
- β±οΈ Units: Meters per second (m/s) or miles per hour (mph), *with a direction*.
- β Vector: Velocity is a vector quantity. This means it has both magnitude and direction.
π Speed vs. Velocity: A Side-by-Side Comparison
| Feature |
Speed |
Velocity |
| Definition |
Rate of motion |
Rate of motion with direction |
| Formula |
$s = \frac{d}{t}$ |
$v = \frac{\Delta x}{t}$ |
| Direction |
Not important |
Crucial |
| Type |
Scalar |
Vector |
| Example |
60 mph |
60 mph East |
π Key Takeaways
- π‘ Remember: Speed is how fast, velocity is how fast *and* which way!
- π§ Direction Matters: The key difference is the direction. Velocity includes direction, while speed doesn't.
- π Real-World: Think about giving directions. You need to tell someone how far to go (speed/distance) and which way to turn (direction/velocity!).