Entered Answer Preview Message 800+80t Variable 't' is not defined in this context 2080 2080 least one of the answers above is NOT correct. he velocity function is v(t) = t – 5t + 4 for a particle moving along a line. Find the isplacement and the distance traveled by the particle during the time interval [-3,6]. isplacement : 800+80t %3D istance traveled = 2080
Entered Answer Preview Message 800+80t Variable 't' is not defined in this context 2080 2080 least one of the answers above is NOT correct. he velocity function is v(t) = t – 5t + 4 for a particle moving along a line. Find the isplacement and the distance traveled by the particle during the time interval [-3,6]. isplacement : 800+80t %3D istance traveled = 2080
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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![**Title: Velocity Function and Particle Displacement**
**Problem Description:**
The velocity function for a particle moving along a line is given by \( v(t) = t^2 - 5t + 4 \). You are required to find both the displacement and the distance traveled by the particle during the time interval \([-3, 6]\).
**User Input:**
- Displacement: \( 800 + 80t \)
- Distance Traveled: \( 2080 \)
**Feedback:**
- The entry for displacement (\(800 + 80t\)) is incorrect because the variable 't' is not defined in the context provided.
- The entry for distance traveled (\(2080\)) is correctly formatted numerically; however, there is an indication that at least one answer is incorrect.
**Key Concept:**
To find the displacement of a particle over a given time interval, integrate the velocity function over that interval.
**Visual Explanation:**
An interface shows columns titled "Entered," "Answer Preview," and "Message." Under "Entered," the user submitted \(800 + 80t\) for displacement and \(2080\) for distance traveled. The "Message" column indicates that the variable 't' is not valid in this scenario, and there is an alert at the bottom highlighting that at least one answer is incorrect.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30c87a43-7b2c-40fe-85f1-990c225cb51e%2Fbf64618c-c91e-4b82-9dee-ad0c3a78ffd2%2Fbm186o5_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Velocity Function and Particle Displacement**
**Problem Description:**
The velocity function for a particle moving along a line is given by \( v(t) = t^2 - 5t + 4 \). You are required to find both the displacement and the distance traveled by the particle during the time interval \([-3, 6]\).
**User Input:**
- Displacement: \( 800 + 80t \)
- Distance Traveled: \( 2080 \)
**Feedback:**
- The entry for displacement (\(800 + 80t\)) is incorrect because the variable 't' is not defined in the context provided.
- The entry for distance traveled (\(2080\)) is correctly formatted numerically; however, there is an indication that at least one answer is incorrect.
**Key Concept:**
To find the displacement of a particle over a given time interval, integrate the velocity function over that interval.
**Visual Explanation:**
An interface shows columns titled "Entered," "Answer Preview," and "Message." Under "Entered," the user submitted \(800 + 80t\) for displacement and \(2080\) for distance traveled. The "Message" column indicates that the variable 't' is not valid in this scenario, and there is an alert at the bottom highlighting that at least one answer is incorrect.
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