123 seconds. t (sec) v (ft/s) 12 264 17 374 25 550 41 902 60 1320 72 1884 123 4281 lower estimate of distance traveled = miles upper estimate of distance traveled = miles
123 seconds. t (sec) v (ft/s) 12 264 17 374 25 550 41 902 60 1320 72 1884 123 4281 lower estimate of distance traveled = miles upper estimate of distance traveled = miles
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Estimating Distance from Velocity Data
When estimating distances from a table of velocity data, the time intervals don't need to be equally spaced. After a spaceship is launched, the following velocity data is recorded. Use this data to estimate the height above the Earth's surface at 123 seconds.
#### Velocity Data Table
| Time \(t\) (sec) | Velocity \(v\) (ft/s) |
|------------------|-----------------------|
| 0 | 0 |
| 12 | 264 |
| 17 | 374 |
| 25 | 550 |
| 41 | 902 |
| 60 | 1320 |
| 72 | 1884 |
| 123 | 4281 |
### Instructions
Calculate both a lower estimate and an upper estimate of the distance traveled using the given velocity data.
- **Lower estimate of distance traveled**: Calculate using the minimum velocity over each interval
- **Upper estimate of distance traveled**: Calculate using the maximum velocity over each interval
**Formulas to Use**:
Using the trapezoidal rule or considering endpoints of each interval helps in obtaining these estimates.
#### Fill in your estimates below:
- Lower estimate of distance traveled = [ ] miles
- Upper estimate of distance traveled = [ ] miles](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7507552d-033e-4149-9d44-bf1f4165ff0a%2F638c5208-b03b-435a-bc90-d6fc12d4e1d3%2Fnk28td_processed.png&w=3840&q=75)
Transcribed Image Text:### Estimating Distance from Velocity Data
When estimating distances from a table of velocity data, the time intervals don't need to be equally spaced. After a spaceship is launched, the following velocity data is recorded. Use this data to estimate the height above the Earth's surface at 123 seconds.
#### Velocity Data Table
| Time \(t\) (sec) | Velocity \(v\) (ft/s) |
|------------------|-----------------------|
| 0 | 0 |
| 12 | 264 |
| 17 | 374 |
| 25 | 550 |
| 41 | 902 |
| 60 | 1320 |
| 72 | 1884 |
| 123 | 4281 |
### Instructions
Calculate both a lower estimate and an upper estimate of the distance traveled using the given velocity data.
- **Lower estimate of distance traveled**: Calculate using the minimum velocity over each interval
- **Upper estimate of distance traveled**: Calculate using the maximum velocity over each interval
**Formulas to Use**:
Using the trapezoidal rule or considering endpoints of each interval helps in obtaining these estimates.
#### Fill in your estimates below:
- Lower estimate of distance traveled = [ ] miles
- Upper estimate of distance traveled = [ ] miles
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