College Physics
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Transcribed Image Text: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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