Answer:
1. **Position vs. Time Plot and Acceleration**:
To create a position vs. time plot, we can use the data provided. I'll first list the data in a table format:
| t (s) | x (m) |
|-------|-------|
| 0 | 0 |
| 0.05 | 1 |
| 1 | -12 |
| 3 | -40 |
| 5 | -105 |
| 8 | -175 |
| 10 | 15 |
| 22 | -2060 |
| 33 | ??? |
However, there seems to be a discrepancy in the data at t = 10. The position is given as both 15 and -410 -900. Please clarify this point, and I'll calculate the acceleration once we have the correct data.
2. **Estimate Number of Breaths in One Week**:
To estimate the number of breaths a person takes in one week, we can make some assumptions:
- An average person takes about 12-20 breaths per minute at rest.
- Let's assume 15 breaths per minute on average.
- In an hour, that's 15 breaths/minute * 60 minutes/hour = 900 breaths.
- In a day, it's 900 breaths/hour * 24 hours/day = 21,600 breaths.
- In a week (7 days), it's 21,600 breaths/day * 7 days/week = 151,200 breaths in one week.
3. **Narrative of Motion and Calculations**:
I'll need more information about the graph you mentioned for part 3. Could you describe the graph or provide the relevant data or equations related to it? This will allow me to answer parts a, b, c, and d accurately.