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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Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.

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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