5) Let the position vector of a moving particle be: r(t) = t'i-2tj+(2+2t)k, where t is in seconds. a) Show that the particle goes through (4,-4,8). When does this occur? b) Find the velocity vector and speed of the particle at time t.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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5) Let the position vector of a moving particle be:
r(t) = t'i-2tj + (t + 2t)k, where t is in seconds.
a) Show that the particle goes through (4,-4,8). When does this occur?
b) Find the velocity vector and speed of the particle at time t.
Transcribed Image Text:5) Let the position vector of a moving particle be: r(t) = t'i-2tj + (t + 2t)k, where t is in seconds. a) Show that the particle goes through (4,-4,8). When does this occur? b) Find the velocity vector and speed of the particle at time t.
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