3. Suppose a child going down a slide experiences an acceleration of a(t) = (- cost,- sin t, –1). Suppose the child starts with zero initial velocity and an initial position of (1,0, 2). (a) Find the child's velocity function v(t). (b) Find the child's position function s(t).

3. Suppose a child going down a slide experiences an acceleration of a(t) = (- cost,- sin t, –1). Suppose the child starts with zero initial velocity and an initial position of (1,0, 2). (a) Find the child's velocity function v(t). (b) Find the child's position function s(t).

Name: 3.Suppose a child going down a slide experiences an acceleration ofa(
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Description: 3.Suppose a child going down a slide experiences an acceleration ofa(t) = (- cost,- sin t, -1). Suppose the child starts with zero initial velocity and an initialposition of (1,0, 2).(a) Find the child's velocity function v(t).(b) Find the child's p

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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Question

3.
Suppose a child going down a slide experiences an acceleration of
a(t) = (- cost,- sin t, -1). Suppose the child starts with zero initial velocity and an initial
position of (1,0, 2).
(a) Find the child's velocity function v(t).
(b) Find the child's position function s(t).
(c) If the slide ends at the ground, at z = 0, how long does it take the child to go down the
slide?

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