QUESTION IMAGE
Question
- explain how to find distance traveled and acceleration from the graph.
For distance - traveled from a velocity - time graph, the area under the curve represents the distance. For acceleration from a velocity - time graph, the slope of the curve at a given point gives the acceleration. If it's a position - time graph, the slope gives velocity and the second - derivative (or the curvature indicating change in slope) gives acceleration.
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To find distance traveled from a graph: For a velocity - time graph, calculate the area under the curve. For acceleration from a graph: On a velocity - time graph, find the slope of the curve at the relevant point; on a position - time graph, find the second - derivative (or analyze the change in slope).