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What is the average acceleration during the time interval 0 seconds to 10 seconds?



To calculate the **average acceleration** during the time interval from **0 seconds to 10 seconds**, we need to use the formula for average acceleration:

\[
\text{Average acceleration} = \frac{\Delta v}{\Delta t}
\]

where:
- \( \Delta v \) is the change in velocity over the time interval.
- \( \Delta t \) is the change in time.

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### Step-by-Step Calculation:

1. **Initial velocity at \(t = 0\) seconds (Point O)**:  
   From the graph, the velocity is **0 meters/second**.

2. **Velocity at \(t = 10\) seconds (Point Q)**:  
   At \(t = 10\) seconds, the velocity is **5 meters/second**.

3. **Change in velocity (\(\Delta v\))**:  
   \[
   \Delta v = v_{\text{final}} - v_{\text{initial}} = 5 - 0 = 5 \, \text{m/s}
   \]

4. **Change in time (\(\Delta t\))**:  
   \[
   \Delta t = 10 \, \text{seconds} - 0 \, \text{seconds} = 10 \, \text{seconds}
   \]

5. **Average acceleration**:  
   \[
   \text{Average acceleration} = \frac{5 \, \text{m/s}}{10 \, \text{seconds}} = 0.5 \, \text{m/s}^2
   \]

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### Final Answer:
The average acceleration during the time interval from \(0\) seconds to \(10\) seconds is:

\[
0.5 \, \text{m/s}^2
\]

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Would you like further details or have other questions?

### 5 Related Questions:
1. What is the acceleration from \(t = 0\) to \(t = 4\) seconds?
2. How do you calculate the total displacement over the entire 16 seconds?
3. What is the average velocity during the same 0 to 10 seconds interval?
4. What is the acceleration from \(t = 10\) to \(t = 14\) seconds?
5. How does instantaneous acceleration differ from average acceleration?

**Tip:** Pay close attention to different segments in velocity-time graphs; slopes in these graphs directly give you acceleration.

What is the average acceleration during the time interval 0 seconds to 10 seconds?

Learn how to calculate the average acceleration during a time interval from 0 to 10 seconds using a velocity-time graph. This example provides a detailed solution, covering kinematics concepts and average acceleration formula. Suitable for Grades 9-10.

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