To match the graphs of an object's movement with the correct descriptions based on the characteristics of distance vs. time graphs, here are the explanations for each type of motion:
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Zero Velocity: The graph will be a horizontal line, indicating that the distance does not change over time. The object is at rest.
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Decreasing Velocity at a Nonlinear Rate: The graph will show a curve that is getting less steep over time, indicating that the distance is increasing but at a decreasing rate.
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Increasing Velocity at a Nonlinear Rate: The graph will show a curve that is becoming steeper over time, indicating that the distance is increasing at an increasing rate.
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Constant Velocity at a Linear Rate: The graph will be a straight line with a positive slope, indicating that distance is increasing at a consistent rate over time.
If you have specific graphs to refer to, you could match them based on these descriptions. Otherwise, the descriptions can be matched as follows:
- Zero Velocity: Horizontal line
- Decreasing Velocity at a Nonlinear Rate: Curve that flattens over time
- Increasing Velocity at a Nonlinear Rate: Curve that steepens over time
- Constant Velocity at a Linear Rate: Straight diagonal line
Please provide the actual graphs or images if you need more tailored assistance!