An object moves in space with acceleration a(t) = 12t²i+6tj+2k. When t = 0, the object is at (1, 0, -1) with initial velocity v(0) = 2i 3k. Find the position vector of the object, r(t).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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1. An object moves in space with acceleration a(t) = 12t²i+6tj+2k. When t
0, the object
is at (1, 0, -1) with initial velocity v(0) = 2i - 3k. Find the position vector of the object,
r(t).
Transcribed Image Text:1. An object moves in space with acceleration a(t) = 12t²i+6tj+2k. When t 0, the object is at (1, 0, -1) with initial velocity v(0) = 2i - 3k. Find the position vector of the object, r(t).
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