3. A particle moves along a coordinate axis. Its position at time t (sec) is s(t)= [S(x)dx feet, where the graph of f is shown below as line segments and a semicircle. a) What is the particle's position at t=0? b) What is the particle's position at t = 3? c) What is the particle's speed at t= 4? d) Approximately when is the acceleration of the particle positive? Justify your answer. e) At what time during the 1 7 seconds does s have its smallest value? Justify your answer.
3. A particle moves along a coordinate axis. Its position at time t (sec) is s(t)= [S(x)dx feet, where the graph of f is shown below as line segments and a semicircle. a) What is the particle's position at t=0? b) What is the particle's position at t = 3? c) What is the particle's speed at t= 4? d) Approximately when is the acceleration of the particle positive? Justify your answer. e) At what time during the 1 7 seconds does s have its smallest value? Justify your answer.
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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Answer d and e
![3. A particle moves along a coordinate axis. Its position at time t (sec) is s(t) = [ S(x)dx feet, where the
graph of ƒ is shown below as line segments and a semicircle.
a) What is the particle's position at 1 =0?
b) What is the particle's position at t = 3?
c) What is the particle's speed at t =4?
d) Approximately when is the acceleration of the particle positive? Justify your answer.
e) At what time during the 1 7 seconds does s have its smallest value? Justify your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64827eef-7bcb-4db4-aefb-e5246c852e69%2F9a00aa57-4dfb-4204-811a-f50009bff75a%2Fpa97qi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. A particle moves along a coordinate axis. Its position at time t (sec) is s(t) = [ S(x)dx feet, where the
graph of ƒ is shown below as line segments and a semicircle.
a) What is the particle's position at 1 =0?
b) What is the particle's position at t = 3?
c) What is the particle's speed at t =4?
d) Approximately when is the acceleration of the particle positive? Justify your answer.
e) At what time during the 1 7 seconds does s have its smallest value? Justify your answer.
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