A car's velocity is modeled by v(t) = 0.5t² - 10.5t + 45 for 0 ≤ t ≤ 10.5, where velocity is in feet per second and time is in seconds. When does the car come to a complete stop? 2.5 seconds 6 seconds 10.5 seconds 15 seconds
A car's velocity is modeled by v(t) = 0.5t² - 10.5t + 45 for 0 ≤ t ≤ 10.5, where velocity is in feet per second and time is in seconds. When does the car come to a complete stop? 2.5 seconds 6 seconds 10.5 seconds 15 seconds
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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![### Velocity Problem on an Educational Website
A car's velocity is modeled by the equation:
\[ v(t) = 0.5t^2 - 10.5t + 45 \]
where \( 0 \leq t \leq 10.5 \), velocity \( v(t) \) is measured in feet per second, and time \( t \) is measured in seconds. The question posed is: **When does the car come to a complete stop?**
### Options:
- 2.5 seconds
- 6 seconds
- 10.5 seconds
- 15 seconds
To solve this problem, you must determine the time \( t \) when the velocity \( v(t) \) equals zero.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdc894cf6-255f-41e2-a885-2e9b10fb3280%2F21daaec4-6803-4c67-8115-f7de4ad4ce08%2Fvgkid0s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Velocity Problem on an Educational Website
A car's velocity is modeled by the equation:
\[ v(t) = 0.5t^2 - 10.5t + 45 \]
where \( 0 \leq t \leq 10.5 \), velocity \( v(t) \) is measured in feet per second, and time \( t \) is measured in seconds. The question posed is: **When does the car come to a complete stop?**
### Options:
- 2.5 seconds
- 6 seconds
- 10.5 seconds
- 15 seconds
To solve this problem, you must determine the time \( t \) when the velocity \( v(t) \) equals zero.
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