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  • Speed vs. Velocity: Understanding Scalar and Vector Quantities
    Here's the breakdown of why speed is a scalar and velocity is a vector:

    Speed

    * Definition: Speed is the rate at which an object covers distance.

    * Scalar: Speed only tells you how fast something is moving. It doesn't tell you the direction.

    * Example: A car traveling at 60 mph. We know how fast it's going, but not where it's headed.

    Velocity

    * Definition: Velocity is the rate at which an object changes its position. It includes both speed and direction.

    * Vector: Velocity is a vector quantity because it has both magnitude (speed) and direction.

    * Example: A car traveling at 60 mph eastward. We know both its speed and the direction of its motion.

    Key Differences

    * Direction: This is the crucial difference. Speed doesn't care about direction, while velocity does.

    * Representation: Speed is represented by a single number (e.g., 60 mph). Velocity is represented by both a magnitude and a direction (e.g., 60 mph eastward).

    In Summary

    Think of it this way:

    * Speed: "How fast?"

    * Velocity: "How fast *and* in what direction?"

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