A velocity vs. time graph is shown below. Which acceleration vs. time graph corresponds to the velocity vs. time graph?**Velocity vs. Time Graph:**- **Vertical Axis (Velocity in m/s):** Ranges from -20 to 10.- **Horizontal Axis (Time in seconds):** Ranges from 0 to 10.- **Line Description:** A straight line starting from (-20, 0) to (10, 10). This indicates a constant positive acceleration as the velocity increases uniformly over time.**Options for Acceleration vs. Time Graphs:**- **Graph A:** - **Vertical Axis (Acceleration in m/s²):** Ranges from 0 to 3. - **Horizontal Axis (Time in seconds):** Ranges from 0 to 10. - **Line Description:** A horizontal line at approximately 2 m/s², indicating constant acceleration.- **Graph B:** - **Vertical Axis (Acceleration in m/s²):** Ranges from -2 to 1. - **Horizontal Axis (Time in seconds):** Ranges from 0 to 10. - **Line Description:** A horizontal line at 0 m/s², indicating no acceleration.- **Graph C:** - **Vertical Axis (Acceleration in m/s²):** Ranges from -2 to 2. - **Horizontal Axis (Time in seconds):** Ranges from 0 to 10. - **Line Description:** A rising line from 0 to 2 m/s², indicating increasing acceleration.- **Graph D:** - **Vertical Axis (Acceleration in m/s²):** Ranges from -2 to 4. - **Horizontal Axis (Time in seconds):** Ranges from 0 to 10. - **Line Description:** A horizontal line at approximately 4 m/s², indicating constant acceleration.The correct acceleration vs. time graph for the given velocity vs. time graph is **Graph A**, as it shows a constant positive acceleration matching the velocity's linear increase.

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Answered: A velocity vs. time graph is shown…

A velocity vs. time graph is shown below. Which acceleration vs. time graph cor- responds to the velocity vs. time graph?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

A velocity vs. time graph is shown below. Which acceleration vs. time graph corresponds to the velocity vs. time graph?

**Velocity vs. Time Graph:**

- **Vertical Axis (Velocity in m/s):** Ranges from -20 to 10.
- **Horizontal Axis (Time in seconds):** Ranges from 0 to 10.
- **Line Description:** A straight line starting from (-20, 0) to (10, 10). This indicates a constant positive acceleration as the velocity increases uniformly over time.

**Options for Acceleration vs. Time Graphs:**

- **Graph A:**
- **Vertical Axis (Acceleration in m/s²):** Ranges from 0 to 3.
- **Horizontal Axis (Time in seconds):** Ranges from 0 to 10.
- **Line Description:** A horizontal line at approximately 2 m/s², indicating constant acceleration.

- **Graph B:**
- **Vertical Axis (Acceleration in m/s²):** Ranges from -2 to 1.
- **Horizontal Axis (Time in seconds):** Ranges from 0 to 10.
- **Line Description:** A horizontal line at 0 m/s², indicating no acceleration.

- **Graph C:**
- **Vertical Axis (Acceleration in m/s²):** Ranges from -2 to 2.
- **Horizontal Axis (Time in seconds):** Ranges from 0 to 10.
- **Line Description:** A rising line from 0 to 2 m/s², indicating increasing acceleration.

- **Graph D:**
- **Vertical Axis (Acceleration in m/s²):** Ranges from -2 to 4.
- **Horizontal Axis (Time in seconds):** Ranges from 0 to 10.
- **Line Description:** A horizontal line at approximately 4 m/s², indicating constant acceleration.

The correct acceleration vs. time graph for the given velocity vs. time graph is **Graph A**, as it shows a constant positive acceleration matching the velocity's linear increase.

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