5. A moving particle has its velocity given by the quadratic function v pictured in and A2 , as well as that for Figure 5.1.7. In addition, it is given that A₁ the corresponding position function s, s(0) = 0.5. a. Use the given information to determine s(1), s(3), s(5), and s(6). What do these values mean in the context of the moving particle? b. On what interval(s) is s increasing? That is, when is the particle moving forward? On what interval(s) is s decreasing? That is, when is the particle moving backward? A₁ c. On what interval(s) is s concave up? That is, when is the particle accelerating? On what interval(s) is s concave down? That is, when is the particle decelerating? d. Sketch an accurate, labeled graph of s on the axes at right in Figure 5.1.7. e. Note that v(t) = −2+ (t− 3)². Find a formula for s. -3+ A2 = V t 10 1+ = H -3· + 2 4 t 10

5. A moving particle has its velocity given by the quadratic function v pictured in and A2 , as well as that for Figure 5.1.7. In addition, it is given that A₁ the corresponding position function s, s(0) = 0.5. a. Use the given information to determine s(1), s(3), s(5), and s(6). What do these values mean in the context of the moving particle? b. On what interval(s) is s increasing? That is, when is the particle moving forward? On what interval(s) is s decreasing? That is, when is the particle moving backward? A₁ c. On what interval(s) is s concave up? That is, when is the particle accelerating? On what interval(s) is s concave down? That is, when is the particle decelerating? d. Sketch an accurate, labeled graph of s on the axes at right in Figure 5.1.7. e. Note that v(t) = −2+ (t− 3)². Find a formula for s. -3+ A2 = V t 10 1+ = H -3· + 2 4 t 10

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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