do the calculations manually with the given data

The calculated acceleration (slope of the velocity-time graph) is approximately **9.79 m/s²**. The standard error of the slope, representing the uncertainty in the acceleration, is approximately **0.050 m/s²**.

This suggests that the acceleration of the falling object is \( 9.79 \pm 0.05 \, \text{m/s}^2 \).

If you have any more questions or need further details, feel free to ask.

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### Follow-Up Questions
1. How does this calculated acceleration compare to the standard gravitational acceleration on Earth (9.81 m/s²)?
2. What does the standard error tell you about the precision of your measurement?
3. How would you calculate the confidence interval for the acceleration using the standard error?
4. Could air resistance account for any deviation from the expected acceleration of 9.81 m/s²?
5. How would the results change if the object were falling in a medium other than air?

### Tip
When analyzing experimental data, always report your measurements with the associated uncertainty to provide a clear picture of your results' accuracy and reliability.

Learn how to calculate the acceleration of a falling object, which is approximately 9.79 m/s² with a standard error of 0.050 m/s². Understand the implications of uncertainty in experimental measurements and compare the calculated value with gravitational acceleration on Earth. Suitable for advanced high school physics students.

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