A particle moves along a straight line and its position at time t is given by s(t) = 2t³ – 33t² +144t, t≥0 where s is measured in meters and t in seconds. (A) Use interval notation to indicate the time interval or union of time intervals when the particle is moving forward and backward. Forward: Backward: (B) Use interval notation to indicate when the acceleration of this particle is positive and when it is negative. Positive: Negative: (C) When is the particle speeding up? A. When the velocity is negative. B. When the velocity and the acceleration have the opposite sign. OC. When the velocity is positive. D. When the velocity is decreasing. E. When the velocity and the acceleration have the same sign. OF. When the acceleration is positive. G. When the acceleration is negative. OOOOOO H. When the velocity is increasing. I. When the speed is staying constant. Use interval notation to indicate the time interval(s) when the particle is speeding up and slowing down. ******* Speeding up: Slowing down:
A particle moves along a straight line and its position at time t is given by s(t) = 2t³ – 33t² +144t, t≥0 where s is measured in meters and t in seconds. (A) Use interval notation to indicate the time interval or union of time intervals when the particle is moving forward and backward. Forward: Backward: (B) Use interval notation to indicate when the acceleration of this particle is positive and when it is negative. Positive: Negative: (C) When is the particle speeding up? A. When the velocity is negative. B. When the velocity and the acceleration have the opposite sign. OC. When the velocity is positive. D. When the velocity is decreasing. E. When the velocity and the acceleration have the same sign. OF. When the acceleration is positive. G. When the acceleration is negative. OOOOOO H. When the velocity is increasing. I. When the speed is staying constant. Use interval notation to indicate the time interval(s) when the particle is speeding up and slowing down. ******* Speeding up: Slowing down:
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:A particle moves along a straight line and its position at time t is given by
s(t) = 2t³ - 33t²+144t, t≥0
where s is measured in meters and t in seconds.
(A) Use interval notation to indicate the time interval or union of time intervals when the particle is moving forward and backward.
Forward:
Backward:
(B) Use interval notation to indicate when the acceleration of this particle is positive and when it is negative.
Positive:
Negative:
(C) When is the particle speeding up?
A. When the velocity is negative.
B. When the velocity and the acceleration have the opposite sign.
OC. When the velocity is positive.
D. When the velocity is decreasing.
OOO
E. When the velocity and the acceleration have the same sign.
OF. When the acceleration is positive.
G. When the acceleration is negative.
H. When the velocity is increasing.
I. When the speed is staying constant.
Use interval notation to indicate the time interval(s) when the particle is speeding up and slowing down.
Speeding up:
Slowing down:
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