A particle is moving in a straight line in such a way that its position at time t (in seconds) is s(t)=t² + 4t+ 5 feet to the right of a reference point, for t≥ 0. (a) What is the velocity of the object when the time is 2 seconds? (b) Is the object moving toward the reference point when t=2? Explain your answer. (c) What is the object's velocity when the object is 17 feet from the reference point?
A particle is moving in a straight line in such a way that its position at time t (in seconds) is s(t)=t² + 4t+ 5 feet to the right of a reference point, for t≥ 0. (a) What is the velocity of the object when the time is 2 seconds? (b) Is the object moving toward the reference point when t=2? Explain your answer. (c) What is the object's velocity when the object is 17 feet from the reference point?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A particle is moving in a straight line in such a way that its position at time t (in seconds) is
s(t) = 1² +4t+ 5 feet to the right of a reference point, for t≥ 0.
(a) What is the velocity of the object when the time is 2 seconds?
(b) Is the object moving toward the reference point when t = 2? Explain your answer.
(c) What is the object's velocity when the object is 17 feet from the reference point?
The velocity function to be used to calculate the object's velocity is v(t) = 8
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