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10- Calcular o deslocamento e a velocidade escalar média:

To calculate the displacement and average speed from the given graph, we can analyze the following details:

### 1. **Displacement (Δx):**
Displacement is the difference in the position of the object between two points in time. The graph shows position versus time.

- Initial Position (\(x_0\)): At \(t = 0\) seconds, the position is \(x = 0\) meters.
- Final Position (\(x_f\)): At \(t = 2\) seconds, the position is \(x = 8\) meters.

The displacement is given by:
\[
\Delta x = x_f - x_0 = 8 \, \text{meters} - 0 \, \text{meters} = 8 \, \text{meters}
\]

### 2. **Average Speed (v_avg):**
Average speed is defined as the total displacement divided by the total time taken.

- Total time (\(Δt\)): \(t_f - t_0 = 2 \, \text{seconds} - 0 \, \text{seconds} = 2 \, \text{seconds}\)
- Displacement (\(Δx\)): From the calculation above, \(8 \, \text{meters}\).

The average speed is calculated by:
\[
v_{\text{avg}} = \frac{\Delta x}{\Delta t} = \frac{8 \, \text{meters}}{2 \, \text{seconds}} = 4 \, \text{m/s}
\]

### Summary:
- **Displacement:** \(8\) meters
- **Average Speed:** \(4\) m/s

Would you like more details on any part of this process, or do you have any questions?

### Related Questions:
1. How is displacement different from the total distance traveled?
2. Can average speed ever be negative? Why or why not?
3. How would the graph look if the object were accelerating?
4. What is the significance of the slope in the position-time graph?
5. How can you determine if the object is moving at a constant speed from a position-time graph?

### Tip:
Always check the units on both axes of a graph when analyzing it; this ensures correct interpretation of the data and calculations.

Learn how to calculate displacement and average speed from a position-time graph with a detailed step-by-step solution. This problem covers key physics concepts in kinematics, including displacement calculation and average speed formula. Suitable for high school students.

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