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  • Speed vs. Velocity: Understanding the Difference and How Changes Affect Them
    Yes, if speed changes, velocity always changes. Here's why:

    * Velocity is a vector quantity, meaning it has both magnitude (speed) and direction.

    * Speed is just the magnitude of velocity.

    Therefore, if speed changes, the magnitude of velocity changes, which means velocity itself changes.

    Example:

    * A car traveling at 60 mph east has a certain velocity.

    * If the car speeds up to 70 mph east, its speed has increased.

    * However, its direction remains the same (east).

    * Since both speed and direction are components of velocity, the velocity has changed.

    However, there's a catch:

    * If only direction changes, velocity still changes, even if speed remains constant. For example, if a car turns a corner while maintaining a constant speed, its velocity changes because the direction of travel changes.

    In conclusion:

    * Any change in speed *always* results in a change in velocity.

    * Any change in direction *also* results in a change in velocity, regardless of speed.

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