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(d) Find the net change in position and the total distance traveled in the time interval 0 ≤ t ≤ 6. i. Net change in position = 6 1° 2² 0 6t + 5 dt 6 = 5₁° 12²2 |t² - 6t + 5| dt ii. Total distance traveled =

(d) Find the net change in position and the total distance traveled in the time interval 0 ≤ t ≤ 6. i. Net change in position = 6 1° 2² 0 6t + 5 dt 6 = 5₁° 12²2 |t² - 6t + 5| dt ii. Total distance traveled =

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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(d) Find the net change in position and the total distance traveled in the time interval 0 ≤ t ≤ 6. i. Net change in position ii. Total distance traveled 6 - 1² ₁². = t² - 6t+ 5 dt 5° 12². |t² - 6t + 5| dt
Transcribed Image Text:(d) Find the net change in position and the total distance traveled in the time interval 0 ≤ t ≤ 6. i. Net change in position ii. Total distance traveled 6 - 1² ₁². = t² - 6t+ 5 dt 5° 12². |t² - 6t + 5| dt
2. Suppose a particle is traveling on a one-dimensional track with velocity v(t) = t² − 6t + 5 feet per second for 0 ≤ t ≤ 6. Further suppose that the position of the particle at time t = 0 is given by s(0) = 3 and that positive values mean the particle is traveling to the right.
Transcribed Image Text:2. Suppose a particle is traveling on a one-dimensional track with velocity v(t) = t² − 6t + 5 feet per second for 0 ≤ t ≤ 6. Further suppose that the position of the particle at time t = 0 is given by s(0) = 3 and that positive values mean the particle is traveling to the right.
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