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10- Calcular o deslocamento e a velocidade escalar média:

To solve the problem, I'll analyze the graph you've provided and then calculate the displacement and average speed.

### 1. **Analyzing the Graph:**
   - **Position (y-axis)**: The graph shows the position in meters.
   - **Time (x-axis)**: The graph shows the time in seconds.
   - The graph shows a linear increase in position, indicating constant velocity.

### 2. **Reading Key Points:**
   - **Initial Position (at \( t = 0 \) s):** Approximately 2 meters.
   - **Final Position (at \( t = 2 \) s):** Approximately 8 meters.

### 3. **Calculating Displacement:**
   Displacement (\( \Delta x \)) is calculated as the difference between the final position and the initial position.

   \[
   \Delta x = x_f - x_i = 8\,\text{m} - 2\,\text{m} = 6\,\text{m}
   \]

### 4. **Calculating Average Speed:**
   The average speed (\( v_{avg} \)) is calculated by dividing the displacement by the time interval.

   \[
   v_{avg} = \frac{\Delta x}{\Delta t} = \frac{6\,\text{m}}{2\,\text{s}} = 3\,\text{m/s}
   \]

### Final Answer:
- **Displacement:** \( 6 \, \text{m} \)
- **Average Speed:** \( 3 \, \text{m/s} \)

Would you like more details or have any questions about these calculations?

### Related Questions:
1. How would the graph look if the object was decelerating?
2. What would happen to the average speed if the final position was 10 meters?
3. How do you calculate displacement if the motion is not linear?
4. What is the difference between speed and velocity?
5. How would the graph change if the time taken was 4 seconds instead of 2?

### Tip:
When interpreting motion graphs, remember that the slope of a position vs. time graph represents velocity. A steeper slope indicates a higher velocity.

Learn how to calculate displacement and average speed from a position vs. time graph in physics. This problem involves analyzing a linear graph showing position over time and calculating Δx = 6 m and v_avg = 3 m/s. Suitable for high school physics students.

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