To determine which inference can be made from the graph representing the relationship between distance traveled and time elapsed, we need to look at the shape of the graph.
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If the graph is a straight line with a positive slope, it indicates that the object is moving at a constant speed (d).
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If the graph is a straight line with a slope that increases over time (the line is curving upwards), it indicates that the object is experiencing positive acceleration (b).
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If the graph is a straight line with a slope that decreases over time (the line is curving downwards), it would indicate negative acceleration (c), meaning the object is slowing down.
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If the graph is curved in a way that suggests changing distance per equal time intervals, it suggests acceleration, but the type (positive or negative) depends on the direction of the curvature.
Based on these interpretations:
- If the graph is a straight line, the answer is (d) - the object moves at a constant speed.
- If the graph is curved upwards (the slope is increasing), the answer is (b) - the object is experiencing acceleration.
- If the graph is curved downwards (the slope is decreasing), the answer is (c) - the object has a negative acceleration.
- If the curve suggests a path that changes direction, then (a) could apply but only if we know it implies motion in a curved path.
Without seeing the actual graph, we can't definitively pick an answer, but based on typical scenarios:
If the graph is a straight line, the answer would be (d). If it has upward curvature, the answer is (b). If it has downward curvature, the answer is (c). If it clearly represents non-linear motion in a spatial sense without elaboration on distance vs. time, then (a) might apply.
Please check the graph carefully to identify the appropriate relationship depicted.