The accepted value for g is 9.81 m/s? Procedure: Measure the distance (d) (see excel file) and the falling time (t) for a body initially at rest: Questions: 1. Complete the table using excel and compute the experimental value of the free fall acceleration g from the average acceleration a (show your work):
The accepted value for g is 9.81 m/s? Procedure: Measure the distance (d) (see excel file) and the falling time (t) for a body initially at rest: Questions: 1. Complete the table using excel and compute the experimental value of the free fall acceleration g from the average acceleration a (show your work):
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Transcribed Image Text:# Physics Kinematics Data Table
## Distance vs. Time Analysis
This table provides experimental data on the motion of an object over various distances and their corresponding times. The data is organized in columns for easy computation and analysis. Descriptions follow below:
### Data Columns Explanation:
1. **Column A (d, m):** Distances (in meters) the object travels.
2. **Column B (t, s):** Time taken (in seconds) for each distance.
3. **Column C (\(t^2\), \(s^2\)):** Square of the time taken (in square seconds). This column is currently unfilled.
4. **Column D (\(a, m/s^2\)):** Acceleration (in meters per second squared). This column is currently unfilled.
5. **Column E (\(V_f, m/s\)):** Final velocity (in meters per second). This column is currently unfilled.
6. **Column F (\(\Delta a, m/s^2\)):** Change in acceleration (in meters per second squared). This column is currently unfilled.
### Recorded Data:
| **d (m)** | **t (s)** | **\(t^2\) \((s^2)\)** | **a \((m/s^2)\)** | **\(V_f\) \((m/s)\)** | **\(\Delta a\) \((m/s^2)\)** |
|:-----------:|:-----------:|:----------------------:|:-------------------:|:-----------------------:|:------------------------------:|
| 0.500 | 1.083 | | | | |
| 0.600 | 1.188 | | | | |
| 0.700 | 1.279 | | | | |
| 0.800 | 1.366 | | | | |
| 0.900 | 1.454 | | | | |
| 1.000 | 1.525 | | | | |
| 1.100 | 1.610 | | |
Transcribed Image Text:---
## Determining the Acceleration Due to Gravity (g)
### Introduction
In this experiment, we aim to determine the acceleration due to gravity (g) by analyzing the free fall motion of a body initially at rest. The universally accepted value for g is **9.81 m/s²**.
### Procedure
1. **Measurement**: Measure the distance (d) and the falling time (t) for a body initially at rest. Refer to the provided Excel file for these measurements.
### Questions
1. **Computation and Analysis**:
- **Objective**: Complete the table using Excel and compute the experimental value of the free fall acceleration \( g \) from the average acceleration \( a \).
- **Instructions**: Show your work step-by-step to illustrate how the average acceleration \( a \) is derived from the measured distances and times.
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Note: Please ensure that all calculations are clearly documented, and all Excel entries are accurate for an effective analysis and comparison with the accepted value of \( g \).
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