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  • Understanding Velocity vs. Speed: Why Negative Velocity Exists
    Here's the breakdown of why velocity can be negative but speed is always positive:

    Velocity

    * Definition: Velocity is a vector quantity, meaning it has both magnitude (how fast) and direction.

    * Negative Velocity: A negative velocity simply indicates motion in the opposite direction of whatever you've defined as the positive direction. For example:

    * If you define "going east" as positive, then "going west" would be negative.

    * If you define "going up" as positive, then "going down" would be negative.

    Speed

    * Definition: Speed is a scalar quantity, meaning it only has magnitude (how fast).

    * No Direction: Speed doesn't care about direction. It's simply the rate at which an object is moving.

    * Always Positive: Since speed is just a magnitude, it can't be negative. You can't have a "negative amount of speed".

    Analogy

    Imagine driving a car.

    * Velocity: You could be traveling at 60 miles per hour *east* (positive velocity) or 60 miles per hour *west* (negative velocity).

    * Speed: In both cases, your *speed* is 60 miles per hour. It doesn't matter which direction you're going.

    Key Point: Velocity is a vector, so it can be negative to indicate direction. Speed is a scalar, so it only represents magnitude and is always positive.

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