To represent Tina's bike ride, we need to analyze the different phases of her motion based on the description provided:
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Initial Acceleration: As Tina begins to pedal and her speed steadily increases, we would see an upward slope in the graph (speed vs. time). This represents her increasing speed.
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Constant Speed (First Coast): After her initial acceleration, she coasts for a while at a constant speed, which would show as a horizontal line on the graph. This flat part of the graph indicates that her speed is constant.
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Second Acceleration: When she begins to pedal again but at a slower rate than before, we would see another upward slope, but this slope would be less steep than the first one.
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Second Coast: After this increase in speed, she coasts again at a constant speed, which will again appear as another horizontal line on the graph, similar to the first coast but potentially at a different speed.
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Deceleration: Finally, as she approaches her destination and slows down until she stops, we would see a downward slope that gradually decreases until it reaches zero speed.
In summary, the graph representing Tina's bike ride would consist of:
- An upward slope (acceleration)
- A horizontal line (constant speed)
- A second, gentler upward slope (slower acceleration)
- Another horizontal line (constant speed)
- A downward slope (deceleration)
The correct graph would show these characteristics in sequence. If you're looking at a set of graph options, the one with these features—a combination of slopes and flat lines that correspond to Tina's changes in speed—would be the correct choice.
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