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Question
- in this velocity vs. time graph, the person at point a: has negative acceleration has zero acceleration not enough information to determine. has positive acceleration
In a velocity - time (v - t) graph, the acceleration of an object is given by the slope of the velocity - time graph, i.e., \(a=\frac{\Delta v}{\Delta t}\). At a single point (like point A) on a v - t graph, we can find the slope of the tangent to the curve at that point. But since the problem doesn't provide the shape of the v - t graph around point A (for example, whether the graph is a straight line, a curve, etc.), we don't have enough information to determine if the acceleration is positive, negative, or zero.
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Not enough information to determine.