PhysicsClassical Physics

Velocity vs Time Graph: Sketch Acceleration over 100 s

Convert a 100-second velocity vs time graph into five acceleration intervals, including the flat segment and reversal.

Question

Using the supplied velocity vs time graph, sketch the corresponding acceleration vs time graph.

Original velocity vs time graph with complete axis units and ticks

Original graph: OpenStax, University Physics Volume 1, Chapter 3, Problem 39.

Time (s)Velocity (m/s)
00
206
502
702
904
100-2

The table transcribes the original graph’s vertices; adjacent vertices are joined by straight segments. It adds no new question requirements.

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Evidence boundary

The question and original velocity graph are OpenStax University Physics Volume 1, Chapter 3, Problem 39. The answer uses the graph’s five straight segments and exact labeled breakpoints. It supplies interval accelerations and the required sketch; it does not infer unshown motion outside 0–100 s or smooth the corners.