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A particle moves according to a law of motion s= f(t), t≥ 0, where t is in seconds and s is in feet. Given f(t) = t³ - 3t² - 45t + 1, find the following: A. The velocity and acceleration functions B. The total distance traveled during the first 6 seconds C. When the particle is speeding up and slowing down

A particle moves according to a law of motion s= f(t), t≥ 0, where t is in seconds and s is in feet. Given f(t) = t³ - 3t² - 45t + 1, find the following: A. The velocity and acceleration functions B. The total distance traveled during the first 6 seconds C. When the particle is speeding up and slowing down

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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A particle moves according to a law of motion s= f(t), t≥ 0, where t is in seconds and s is in feet. Given f(t) = t³ - 3t² - 45t + 1, find the following: A. The velocity and acceleration functions B. The total distance traveled during the first 6 seconds C. When the particle is speeding up and slowing down
Transcribed Image Text:A particle moves according to a law of motion s= f(t), t≥ 0, where t is in seconds and s is in feet. Given f(t) = t³ - 3t² - 45t + 1, find the following: A. The velocity and acceleration functions B. The total distance traveled during the first 6 seconds C. When the particle is speeding up and slowing down
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