A proton moves in a horizontal line. Its position, t seconds after the particle begins moving is: s(t) = 6t³ - 7t +9 A. Find the velocity of the proton at time t. B. After the proton starts moving, it comes to a rest at what time t? You may give your answer to 3 decimal places. In your work, give an appropriate unit. C. Find the acceleration of the proton at time t.
A proton moves in a horizontal line. Its position, t seconds after the particle begins moving is: s(t) = 6t³ - 7t +9 A. Find the velocity of the proton at time t. B. After the proton starts moving, it comes to a rest at what time t? You may give your answer to 3 decimal places. In your work, give an appropriate unit. C. Find the acceleration of the proton at time t.
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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![**Question 2**
A proton moves in a horizontal line. Its position, \( t \) seconds after the particle begins moving is:
\[ s(t) = 6t^2 - 7t + 9 \]
A. Find the velocity of the proton at time \( t \).
[Text Box]
B. After the proton starts moving, it comes to a rest at what time \( t \)? You may give your answer to 3 decimal places. In your work, give an appropriate unit.
[Text Box]
C. Find the acceleration of the proton at time \( t \).
[Text Box]
D. Find the acceleration of the proton 5 seconds after it begins moving. In your work, give an appropriate unit.
[Text Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdccd92ca-1b61-456d-9dcc-37e880ec20af%2F3a446fa9-874c-4618-8823-36f199185fa5%2F34azdvi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 2**
A proton moves in a horizontal line. Its position, \( t \) seconds after the particle begins moving is:
\[ s(t) = 6t^2 - 7t + 9 \]
A. Find the velocity of the proton at time \( t \).
[Text Box]
B. After the proton starts moving, it comes to a rest at what time \( t \)? You may give your answer to 3 decimal places. In your work, give an appropriate unit.
[Text Box]
C. Find the acceleration of the proton at time \( t \).
[Text Box]
D. Find the acceleration of the proton 5 seconds after it begins moving. In your work, give an appropriate unit.
[Text Box]
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