(2, 20) 20- (7, 20) 10 (16, 10) (18, 10) 10 12 14 16 18 -10- (10, –10) (14, –10) Graph of v 4. A squirrel starts at building A at time t = 0 and travels along a straight, horizontal wire connected to building B. For 0 SiS 18, the squirrel's velocity is modeled by the piecewise-linear function defined by the graph above. (a) At what times in the interval 0 < 1 < 18, if any, does the squirrel change direction? Give a reason for your answer. (b) At what time in the interval 0 5 1 5 18 is the squirrel farthest from building A ? How far from building A is the squirrel at that time? (c) Find the total distance the squirrel travels during the time interval 0 5 t 5 18. (d) Write expressions for the squirrel's acceleration a(t), velocity v(t), and distance x(t) from building A that are valid for the time interval 7 < t < 10.

(2, 20) 20- (7, 20) 10 (16, 10) (18, 10) 10 12 14 16 18 -10- (10, –10) (14, –10) Graph of v 4. A squirrel starts at building A at time t = 0 and travels along a straight, horizontal wire connected to building B. For 0 SiS 18, the squirrel's velocity is modeled by the piecewise-linear function defined by the graph above. (a) At what times in the interval 0 < 1 < 18, if any, does the squirrel change direction? Give a reason for your answer. (b) At what time in the interval 0 5 1 5 18 is the squirrel farthest from building A ? How far from building A is the squirrel at that time? (c) Find the total distance the squirrel travels during the time interval 0 5 t 5 18. (d) Write expressions for the squirrel's acceleration a(t), velocity v(t), and distance x(t) from building A that are valid for the time interval 7 < 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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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

(2, 20)
(7, 20)
20
(16, 10)
10.
(18, 10)
8
10
12
14
16
18
6.
-10-
(10, –10)
(14, –10)
Graph of v
4. A squirrel starts at building A at time 1 = 0 and travels along a straight, horizontal wire connected to
building B. For 0 sIS 18, the squirrel's velocity is modeled by the piecewise-linear function defined
by the graph above.
(a) At what times in the interval 0 < 1 < 18, if any, does the squirrel change direction? Give a reason
for your answer.
(b) At what time in the interval 0 < 1 s 18 is the squirrel farthest from building A ? How far from
building A is the squirrel at that time?
(c) Find the total distance the squirrel travels during the time interval 0 < 1 s 18.
(d) Write expressions for the squirrel's acceleration a(t), velocity v(1), and distance x(1) from
building A that are valid for the time interval 7 < t < 10.

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