The table below shows the height, h, in meters, of an object that is thrown off the top of a building as a function of t, the time in seconds after it is thrown. t 0.5 1 1.5 2 2.5 3 h(t) 95.775 109.1 119.975 128.4 134.375 137.9 Using your calculator to do a quadratic regression, express the height of the object as a function of the number of seconds that have passed since the object was thrown. Round all numbers to 1 decimal place. Using your quadratic regression, how high will the object be 2.7 seconds after it is thrown? Select an answer ✓ Round to 3 decimal places. Using your quadratic regression, how long will it take the object to reach 5 meters? Select an answer ✓ Round to the 3 decimal places.
The table below shows the height, h, in meters, of an object that is thrown off the top of a building as a function of t, the time in seconds after it is thrown. t 0.5 1 1.5 2 2.5 3 h(t) 95.775 109.1 119.975 128.4 134.375 137.9 Using your calculator to do a quadratic regression, express the height of the object as a function of the number of seconds that have passed since the object was thrown. Round all numbers to 1 decimal place. Using your quadratic regression, how high will the object be 2.7 seconds after it is thrown? Select an answer ✓ Round to 3 decimal places. Using your quadratic regression, how long will it take the object to reach 5 meters? Select an answer ✓ Round to the 3 decimal places.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![### Object Height as a Function of Time
The table below shows the height, \( h \), in meters, of an object that is thrown off the top of a building as a function of \( t \), the time in seconds after it is thrown.
| \( t \) | 0.5 | 1 | 1.5 | 2 | 2.5 | 3 |
|-----------|-------|-------|--------|-------|--------|-------|
| \( h(t) \) | 95.775 | 109.1 | 119.975 | 128.4 | 134.375 | 137.9 |
#### Tasks
1. **Find Quadratic Regression**
Using your calculator, perform a quadratic regression to express the height of the object as a function of the number of seconds that have passed since the object was thrown.
- **Input:** [ ]
- Round all numbers to 1 decimal place.
2. **Height After 2.7 Seconds**
Using your quadratic regression, determine how high the object will be 2.7 seconds after it is thrown.
- **Input:** [ ]
- Round to 3 decimal places.
3. **Time to Reach 5 Meters**
Using your quadratic regression, calculate how long it will take the object to reach 5 meters.
- **Input:** [ ]
- Round to 3 decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbadf131f-ca26-4f8e-953f-35e945c24016%2Ff3c6ae34-5798-404a-a063-910fe806a329%2Fhj4v1tp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Object Height as a Function of Time
The table below shows the height, \( h \), in meters, of an object that is thrown off the top of a building as a function of \( t \), the time in seconds after it is thrown.
| \( t \) | 0.5 | 1 | 1.5 | 2 | 2.5 | 3 |
|-----------|-------|-------|--------|-------|--------|-------|
| \( h(t) \) | 95.775 | 109.1 | 119.975 | 128.4 | 134.375 | 137.9 |
#### Tasks
1. **Find Quadratic Regression**
Using your calculator, perform a quadratic regression to express the height of the object as a function of the number of seconds that have passed since the object was thrown.
- **Input:** [ ]
- Round all numbers to 1 decimal place.
2. **Height After 2.7 Seconds**
Using your quadratic regression, determine how high the object will be 2.7 seconds after it is thrown.
- **Input:** [ ]
- Round to 3 decimal places.
3. **Time to Reach 5 Meters**
Using your quadratic regression, calculate how long it will take the object to reach 5 meters.
- **Input:** [ ]
- Round to 3 decimal places.
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