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  • Understanding Displacement vs. Time for Constant Positive Velocity
    The graph of displacement vs. time for something moving at a constant positive velocity is a straight line with a positive slope. Here's why:

    * Displacement: Displacement is the change in position of an object.

    * Constant Velocity: Constant velocity means the object is moving at a steady speed in a single direction.

    * Slope: The slope of a displacement vs. time graph represents the velocity.

    Visualization:

    Imagine a car driving down a straight road at a constant 60 mph.

    * Time (x-axis): As time passes, the car continues to move.

    * Displacement (y-axis): The car's distance from its starting point increases steadily.

    Since the car's velocity is constant, the distance covered in each equal time interval will be the same. This creates a straight line on the graph. The positive slope indicates that the displacement is increasing as time increases, meaning the object is moving in a positive direction.

    Key Points:

    * The steeper the slope, the faster the object is moving.

    * If the velocity were negative, the line would have a negative slope (sloping downwards).

    * A horizontal line on the displacement vs. time graph represents an object at rest (zero velocity).

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