Question
the area under a velocity vs time graph equals
Answers
GPT-4o mini
The area under a velocity vs. time graph represents the displacement of an object over the given time interval. Displacement is a vector quantity that describes the change in position of the object. The area can be calculated by finding the geometric area of the shape formed under the curve, which can be composed of rectangles, triangles, or other shapes, depending on the nature of the graph. If the graph has sections below the time axis (where velocity is negative), that area is considered negative, indicating movement in the opposite direction. Overall, integrating the velocity function with respect to time gives the displacement.