Motion in Space: If 7(t) represents the position function, then the velocity function O = F"(t), the acceleration function d(t) = '(t) = F"(t), and speed is given by |v(t)l. A particle moves with position function 7(t) = 2/2 ti+ e2t j + e-2t R. Find the velocity, acceleration, and speed of the particle. [12 points each for (e), d(+), [ū(e)| ]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 72E
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Motion in Space: If (t) represents the position function, then the velocity function
O = F"(t), the acceleration function a() = (t) = 7"(t), and speed is given by |ö(t)l.
A particle moves with position function 7(t) = 2/2 t i+ e2t j + e-2* R.
Find the velocity, acceleration, and speed of the particle. [12 points each for (t), a(t), J(t)|]
Transcribed Image Text:Motion in Space: If (t) represents the position function, then the velocity function O = F"(t), the acceleration function a() = (t) = 7"(t), and speed is given by |ö(t)l. A particle moves with position function 7(t) = 2/2 t i+ e2t j + e-2* R. Find the velocity, acceleration, and speed of the particle. [12 points each for (t), a(t), J(t)|]
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