At time t=0, a particle is located at the point (6,7,8). It travels in a straight line to the point (8,6,4), has speed 2 at (6,7,8) and constant acceleration 2i-j-4k. Find an equation for the position vector r(t) of the particle at time t. The equation for the position vector r(t) of the particle at time t is r(t)= (¹+j+ k. (Type exact answers, using radicals as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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At time t = 0, a particle is located at the point (6,7,8). It travels in a straight line to the point (8,6,4), has speed 2 at (6,7,8) and constant acceleration 2i-j- 4k. Find an equation for the position vector r(t) of the particle at time t.
The equation for the position vector r(t) of the particle at time t is r(t) =
(Type exact answers, using radicals as needed.)
i+
j+
k.
Transcribed Image Text:At time t = 0, a particle is located at the point (6,7,8). It travels in a straight line to the point (8,6,4), has speed 2 at (6,7,8) and constant acceleration 2i-j- 4k. Find an equation for the position vector r(t) of the particle at time t. The equation for the position vector r(t) of the particle at time t is r(t) = (Type exact answers, using radicals as needed.) i+ j+ k.
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