To determine which statement is true, we need to analyze the information provided about the graph of distance over time.
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The object’s acceleration is increasing constantly. - This would imply that the rate at which the object's speed is increasing is also increasing, which is not something we can determine without more specific graph information.
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The object’s velocity is constant. - This would mean that the distance graph is a straight line with a constant slope. If the graph has any curvature, this statement would not be true.
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The object’s velocity is increasing. - This can be determined if the graph of distance vs. time is curved upwards, indicating that the slope (velocity) is increasing.
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The object’s acceleration is increasing. - Like the first statement, this cannot be determined without understanding if the change in velocity itself is increasing.
Without seeing the actual graph, one can reason based on typical scenarios:
- If the graph is a straight line, then the velocity is constant.
- If the graph is a curve that gets steeper, then the velocity is increasing.
- If the graph is a curve that itself is changing more steeply over time, then the acceleration is increasing.
If the distance graph shows a steady upward slope, then the velocity is constant. If the slope of the distance graph is increasing (i.e., the object is moving faster as time goes on), then the object's velocity is increasing.
In summary:
- If the graph is linear, the answer is: "The object’s velocity is constant."
- If the graph curves upwards, then the answer is: "The object’s velocity is increasing."
Choose based on the provided graph; if you see an upward curve, go with the third response, "The object’s velocity is increasing."
2 answers