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  • Instantaneous Velocity vs. Speed: Understanding the Difference
    You're right to question that statement! The magnitude of instantaneous velocity is not always equal to speed. Here's why:

    * Velocity is a vector quantity. It has both magnitude (speed) and direction.

    * Speed is a scalar quantity. It only has magnitude.

    Here's the key difference:

    * Instantaneous velocity represents the rate of change of position at a specific moment in time, including its direction.

    * Speed only tells you how fast something is moving, regardless of direction.

    Example:

    Imagine a car traveling at 60 mph due east.

    * Instantaneous velocity: 60 mph east (magnitude and direction)

    * Speed: 60 mph (only magnitude)

    When the magnitude of instantaneous velocity is equal to speed:

    This only happens when the object is moving in a straight line. If the object changes direction, its velocity will change even if its speed remains constant.

    In summary:

    The magnitude of instantaneous velocity is only equal to speed when the object is moving in a straight line. If the object changes direction, its velocity will change, and its magnitude (speed) might not be equal to its overall speed.

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