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  • Understanding Velocity: Formula, Displacement, and Time
    The mathematical equation of velocity is:

    v = Δd / Δt

    where:

    * v is velocity

    * Δd is the change in displacement (final position minus initial position)

    * Δt is the change in time (final time minus initial time)

    Explanation:

    * Displacement (Δd): This represents the overall change in position of an object. It's a vector quantity, meaning it has both magnitude (how far) and direction.

    * Time (Δt): This represents the duration over which the displacement occurs.

    * Velocity (v): This is a vector quantity that describes both the speed and direction of an object. It tells us how fast and in what direction an object is moving.

    Example:

    If a car travels 100 meters east in 10 seconds, its velocity is:

    v = (100 meters east) / (10 seconds) = 10 meters per second east

    Important Notes:

    * Velocity is a vector quantity, meaning it has both magnitude and direction. Speed, on the other hand, is a scalar quantity and only represents the magnitude of how fast an object is moving.

    * The equation above assumes constant velocity. If the velocity is changing, then we would use calculus to calculate the instantaneous velocity at any given point in time.

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