4. A particle moves along the x-axis in such a way that its position at time t for t≥0 is 1 given by s(t)=-=t³ - 3t² +8t. 3 A. Find the position of the particle at time t = 3. B. Show that at time t = 0, the particle is moving to the right. C. Find all values of t for which the particle is moving to the left. D. What is the total distance the particle travels from t = 0 tot = 4?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. A particle moves along the x-axis in such a way that its position at time t for t≥ 0 is
-
given by s(t) ==— 1³ — 3t² +8t.
A. Find the position of the particle at time t = 3.
B. Show that at time t = 0, the particle is moving to the right.
2
C. Find all values of t for which the particle is moving to the left.
4
D. What is the total distance the particle travels from t = 0 to t = 4?
Transcribed Image Text:4. A particle moves along the x-axis in such a way that its position at time t for t≥ 0 is - given by s(t) ==— 1³ — 3t² +8t. A. Find the position of the particle at time t = 3. B. Show that at time t = 0, the particle is moving to the right. 2 C. Find all values of t for which the particle is moving to the left. 4 D. What is the total distance the particle travels from t = 0 to t = 4?
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