Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t) = (5t, 5 sin(t), cos(2t)) v(0) = (3,-2, -1) 7(0) = (-3,3,2) r(t) = 6 +3t-3 5 sin(t) + 3t+3 cos (21) 4 t+ 1 X X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 32E
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Find the position vector for a particle with acceleration, initial velocity, and initial position given below.
a(t) = (5t, 5 sin(t), cos(2t))
v(0)
(3,-2, -1)
(0) = (-3,3,2)
r(t) =
57³
=
+3t-3
5 sin(t) + 3t+3
cos (2t)
4
t+
X
X
Transcribed Image Text:Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t) = (5t, 5 sin(t), cos(2t)) v(0) (3,-2, -1) (0) = (-3,3,2) r(t) = 57³ = +3t-3 5 sin(t) + 3t+3 cos (2t) 4 t+ X X
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