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4. The position of a point on a line is given by the equation s(t) = t³ — 6t² +9t - 4, where s is measured in metres and t in seconds. a. What is the velocity of the point after 2 seconds? b. What is its acceleration after 4 seconds? c. Where is it when it first stops moving? d. How far has it travelled when its acceleration is 0? e. After 2 second, is it moving toward or away from the origin?

4. The position of a point on a line is given by the equation s(t) = t³ — 6t² +9t - 4, where s is measured in metres and t in seconds. a. What is the velocity of the point after 2 seconds? b. What is its acceleration after 4 seconds? c. Where is it when it first stops moving? d. How far has it travelled when its acceleration is 0? e. After 2 second, is it moving toward or away from the origin?

Advanced Engineering Mathematics
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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4. The position of a point on a line is given by the equation s(t) = t³ - 6t² +9t-4, where s is measured in metres and t in seconds. a. What is the velocity of the point after 2 seconds? b. What is its acceleration after 4 seconds? c. Where is it when it first stops moving? d. How far has it travelled when its acceleration is 0? e. After 2 second, is it moving toward or away from the origin?
Transcribed Image Text:4. The position of a point on a line is given by the equation s(t) = t³ - 6t² +9t-4, where s is measured in metres and t in seconds. a. What is the velocity of the point after 2 seconds? b. What is its acceleration after 4 seconds? c. Where is it when it first stops moving? d. How far has it travelled when its acceleration is 0? e. After 2 second, is it moving toward or away from the origin?
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