Analyze the velocity vs. time graph below. Which acceleration vs. time graph cor- responds to the velocity vs. time graph? V 0 Velocity vs. Time A D 4 Acce t B C

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**Velocity vs. Time Analysis**

*Question:* Analyze the velocity vs. time graph below. Which acceleration vs. time graph corresponds to the velocity vs. time graph?

**Graph Description:**

- **Velocity vs. Time Graph:**
  - The graph shows a sequence of five distinct segments:
    1. The line rises steeply from the origin to a positive velocity.
    2. It falls sharply back to the zero velocity line.
    3. It rises again but not as steeply as the first rise.
    4. Then it drops vertically back to zero.
    5. Finally, it climbs once more to the same positive velocity as previous peaks.

**Graph Choices:**

- **Acceleration vs. Time Graphs:**

  **A.** The graph features three segments with sharp transitions: starts negative, goes positive, drops back to zero, jumps to negative, and ends in positive.
  
  **B.** Begins with positive acceleration, goes to zero, turns negative, returns to zero, and ends in positive.
  
  **C.** Alternating segments: starts at zero, goes positive, drops to zero, goes negative, and returns to zero.
  
  **D.** Starts at zero, moves to positive, returns to zero, dips negative, and climbs back to zero.

*Task:* Determine which acceleration vs. time graph (A, B, C, or D) matches the changes shown in the velocity vs. time graph.
Transcribed Image Text:**Velocity vs. Time Analysis** *Question:* Analyze the velocity vs. time graph below. Which acceleration vs. time graph corresponds to the velocity vs. time graph? **Graph Description:** - **Velocity vs. Time Graph:** - The graph shows a sequence of five distinct segments: 1. The line rises steeply from the origin to a positive velocity. 2. It falls sharply back to the zero velocity line. 3. It rises again but not as steeply as the first rise. 4. Then it drops vertically back to zero. 5. Finally, it climbs once more to the same positive velocity as previous peaks. **Graph Choices:** - **Acceleration vs. Time Graphs:** **A.** The graph features three segments with sharp transitions: starts negative, goes positive, drops back to zero, jumps to negative, and ends in positive. **B.** Begins with positive acceleration, goes to zero, turns negative, returns to zero, and ends in positive. **C.** Alternating segments: starts at zero, goes positive, drops to zero, goes negative, and returns to zero. **D.** Starts at zero, moves to positive, returns to zero, dips negative, and climbs back to zero. *Task:* Determine which acceleration vs. time graph (A, B, C, or D) matches the changes shown in the velocity vs. time graph.
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