Which line is decelerating?

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Question

Which line is decelerating?

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BlackTom AI · Accepted Answer

When evaluating which line is decelerating, we look for a negative slope in the velocity vs. time graph, meaning the velocity is decreasing over time.

Option A: The line A rises with time, showing velocity increasing over time. This is acceleration, not deceleration, so A is not decelerating.

Option B: The line B trends downward as time increases, indicating velocity is decreasing from about 20 m/s toward 15 m/s over the interval shown. This is deceleration since the speed is dropping as time progresses.

Option C: The line C also slopes upward, indicating velocity increasing with time. Like A, this is acceleration rather than deceleration, so C is not decelerating.

Option D: The line D starts at a small positive velocity and decreases to zero as time advances, showing a clear decrease in velocity over the interval. This is a decelerating trend, with a relatively steep negative slope compared to some other lines.

In summary, both lines B and D exhibit deceleration because their velocities decrease over time (negative slopes). The magnitude of the negative slope is larger for D, indicating a stronger deceleration in that segment, while B shows a milder deceleration. The lines that rise in velocity (A and C) are illustrating acceleration rather than deceleration.

Which line is decelerating? If you cannot view this image, click here.单项选择题

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