Given that the acceleration vector is a (t) = (-9 cos(3t), –9 sin(3t), 5t), the initial velocity is v(0) = (1,0, 1), and the initial position vector is r(0) = (1, 1, 1), compute: A. The velocity vector v (t) i+ j+ B. The position vector r (t) i+ j+ Note: Your answers must be functions of t; e.g., "5 cos(2t)"

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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Given that the acceleration vector is a (t) = (-9 cos(3t), –9 sin(3t), 5t),
the initial velocity is v(0) = (1,0, 1),
and the initial position vector is r(0) = (1, 1, 1), compute:
A. The velocity vector v (t)
i+
j+
k
%3D
B. The position vector r (t)
i+
j+
k
Note: Your answers must be functions oft; e.g., "5 cos(2t)"
Transcribed Image Text:Given that the acceleration vector is a (t) = (-9 cos(3t), –9 sin(3t), 5t), the initial velocity is v(0) = (1,0, 1), and the initial position vector is r(0) = (1, 1, 1), compute: A. The velocity vector v (t) i+ j+ k %3D B. The position vector r (t) i+ j+ k Note: Your answers must be functions oft; e.g., "5 cos(2t)"
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