A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t seconds after launch is f(t), given in the following table. 15 161 X f(x) 0 5 233 207 a) How fast is the projectile traveling 15 seconds after launch? 161 feet per second. b) How far does the projectile move between 5 seconds and 25 seconds? Estimate 3337.5 feet. d) How high is the projectile at 25 seconds? It is (If necessary, round to two decimal places.) 10 190 c) How far does the projectile move between 0 seconds and 15 seconds? Estimate 2970 feet. feet. 20 152 25 122 30 105
A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t seconds after launch is f(t), given in the following table. 15 161 X f(x) 0 5 233 207 a) How fast is the projectile traveling 15 seconds after launch? 161 feet per second. b) How far does the projectile move between 5 seconds and 25 seconds? Estimate 3337.5 feet. d) How high is the projectile at 25 seconds? It is (If necessary, round to two decimal places.) 10 190 c) How far does the projectile move between 0 seconds and 15 seconds? Estimate 2970 feet. feet. 20 152 25 122 30 105
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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Transcribed Image Text:## Projectile Motion Analysis
A projectile is fired into the air from a height of 125 feet. Its velocity (in feet per second) \( t \) seconds after launch is \( f(t) \), given in the following table:
| \( x \) | 0 | 5 | 10 | 15 | 20 | 25 | 30 |
|--------|-----|-----|-----|-----|-----|-----|-----|
| \( f(x) \) | 233 | 207 | 190 | 161 | 152 | 122 | 105 |
1. **How fast is the projectile traveling 15 seconds after launch?**
- The velocity of the projectile 15 seconds after launch is **161 feet per second**.
2. **How far does the projectile move between 5 seconds and 25 seconds?**
- Estimate: **3337.5 feet**.
3. **How far does the projectile move between 0 seconds and 15 seconds?**
- Estimate: **2970 feet**.
4. **How high is the projectile at 25 seconds?**
- The height of the projectile at 25 seconds is **\( \_\_\_ \) feet**.
- *(If necessary, round to two decimal places)*.
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