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  • Displacement vs. Time Graph for Constant Positive Velocity: Understanding the Relationship
    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. It's the distance between the object's initial and final position, considering the direction of movement.

    * Constant Velocity: Constant velocity means the object is moving at a steady speed in a single direction. There's no acceleration, meaning the velocity doesn't change over time.

    The Graph:

    * Positive Slope: The positive slope indicates that the displacement is increasing with time. This is because the object is moving in the positive direction (we assume positive displacement is in the direction of motion).

    * Straight Line: The straight line indicates that the displacement is increasing at a constant rate. Since the velocity is constant, the object covers the same distance in each unit of time.

    Example:

    Imagine a car traveling east at 60 miles per hour. The displacement vs time graph would be a straight line that rises 60 miles for every hour that passes.

    Key Points:

    * The steeper the slope, the greater the velocity.

    * If the velocity were negative, the slope of the line would also be negative (indicating movement in the opposite direction).

    * A horizontal line on the graph would indicate zero velocity (the object is stationary).

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