Pee trials with the launcher in a horizontal position to determine average, standard deviation and uncertainty of both time and range. Table 1: Trial Time t (s) Range Ax (m) 1 0.2049 0.963 0.2114 0.972 3 0.2083 1.009 Average 0.2082 0.981 Standard deviation Uncertainty Check: Measure the height of the launcher H with your ruler: H= 21.4 cm calculate the theoretical time of flight: Is the above value in good agreement with the average time from table 1? Explain. 2. Using the data in Table 1 calculate the initial speed vo= Axevesse/tovears Initial speed Ye= (units:
Pee trials with the launcher in a horizontal position to determine average, standard deviation and uncertainty of both time and range. Table 1: Trial Time t (s) Range Ax (m) 1 0.2049 0.963 0.2114 0.972 3 0.2083 1.009 Average 0.2082 0.981 Standard deviation Uncertainty Check: Measure the height of the launcher H with your ruler: H= 21.4 cm calculate the theoretical time of flight: Is the above value in good agreement with the average time from table 1? Explain. 2. Using the data in Table 1 calculate the initial speed vo= Axevesse/tovears Initial speed Ye= (units:
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![**Experiment to Determine Average, Standard Deviation, and Uncertainty**
**Objective:**
Use the data from three trials with a launcher in a horizontal position to determine the average, standard deviation, and uncertainty of both time and range.
---
**Table 1:**
| Trial | Time \( t \) (s) | Range \( \Delta x \) (m) |
|-------|------------------|--------------------------|
| 1 | 0.2049 | 0.963 |
| 2 | 0.2114 | 0.972 |
| 3 | 0.2083 | 1.009 |
| **Average** | **0.2082** (in red) | **0.981** (in red) |
| **Standard deviation** | | |
| **Uncertainty** | | |
---
**Procedure:**
1. **Height Measurement:**
- Measure the height of the launcher \( H \) with your ruler.
- \( H = 21.4 \, \text{cm} \)
2. **Calculation Task:**
- Calculate the theoretical time of flight.
- Determine if the calculated theoretical time is in agreement with the average time from Table 1 and explain your reasoning.
3. **Initial Speed Calculation:**
- Using the data in Table 1, calculate the initial speed \( v_0 \) using the formula:
\[
v_0 = \frac{\Delta x_{\text{average}}}{t_{\text{average}}}
\]
- Fill in the initial speed and its units in the designated space.
---
**Note:**
- Theoretical time and standard deviation calculations are essential for understanding experimental accuracy.
- The experiments and analysis provide insights into motion and projectiles, invaluable for physics understanding.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5f65923-b5e6-4be3-9be2-727b112c89ca%2Ff7daa42d-5393-4c01-9ba0-2fd95876dd36%2Ftv1wa7d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Experiment to Determine Average, Standard Deviation, and Uncertainty**
**Objective:**
Use the data from three trials with a launcher in a horizontal position to determine the average, standard deviation, and uncertainty of both time and range.
---
**Table 1:**
| Trial | Time \( t \) (s) | Range \( \Delta x \) (m) |
|-------|------------------|--------------------------|
| 1 | 0.2049 | 0.963 |
| 2 | 0.2114 | 0.972 |
| 3 | 0.2083 | 1.009 |
| **Average** | **0.2082** (in red) | **0.981** (in red) |
| **Standard deviation** | | |
| **Uncertainty** | | |
---
**Procedure:**
1. **Height Measurement:**
- Measure the height of the launcher \( H \) with your ruler.
- \( H = 21.4 \, \text{cm} \)
2. **Calculation Task:**
- Calculate the theoretical time of flight.
- Determine if the calculated theoretical time is in agreement with the average time from Table 1 and explain your reasoning.
3. **Initial Speed Calculation:**
- Using the data in Table 1, calculate the initial speed \( v_0 \) using the formula:
\[
v_0 = \frac{\Delta x_{\text{average}}}{t_{\text{average}}}
\]
- Fill in the initial speed and its units in the designated space.
---
**Note:**
- Theoretical time and standard deviation calculations are essential for understanding experimental accuracy.
- The experiments and analysis provide insights into motion and projectiles, invaluable for physics understanding.
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