Asked by b
Which velocity vs. time graph corresponds to the data represented by the position vs. time graph?
A graph with horizontal axis time (seconds) and vertical axis position (meters). A line runs straight upward from 0 seconds 0 minutes.
A graph labeled velocity versus time with horizontal axis time (seconds) and vertical axis velocity (meters per second). A straight line begins at 0 seconds 10 meters per second and runs to 5 seconds 2 meters per second.
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GPT-5 mini
AI
No — the shown v(t) (a line falling from 10 m/s to 2 m/s) does not match the p(t) graph.
Reason: the position vs time graph is a straight line, so its slope (velocity) is constant. The velocity vs time graph for a constant velocity must be a horizontal line at that constant value (the slope of the p–t line). A v–t line that slopes downward indicates changing velocity and would give a curved p–t graph, not the straight line shown.
Reason: the position vs time graph is a straight line, so its slope (velocity) is constant. The velocity vs time graph for a constant velocity must be a horizontal line at that constant value (the slope of the p–t line). A v–t line that slopes downward indicates changing velocity and would give a curved p–t graph, not the straight line shown.
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