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What is the velocity vector? v(t) = ( Di+ ()i+ (1) k What is the acceleration vector? a(t) = () i+ (D j+ ( k Write the velocity vector at t= 1 as a product of the speed and direction. v(1) = (O [O i+ (Type exact answers, using radicals as needed.) O k] j+

What is the velocity vector? v(t) = ( Di+ ()i+ (1) k What is the acceleration vector? a(t) = () i+ (D j+ ( k Write the velocity vector at t= 1 as a product of the speed and direction. v(1) = (O [O i+ (Type exact answers, using radicals as needed.) O k] j+

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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The equation r(t) = (2t + 7) i + (t - 3) j+ (t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then write the particle's velocity at t=1 as a product of its speed and direction. What is the velocity vector? V(t) = Di+ O(1 k What is the acceleration vector? a (t) = (D i+ Write the velocity vector at t=1 as a product of the speed and direction. v(1) = (O [Oi+ DOK] O k] (Type exact answers, using radicals as needed.)
Transcribed Image Text:The equation r(t) = (2t + 7) i + (t - 3) j+ (t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then write the particle's velocity at t=1 as a product of its speed and direction. What is the velocity vector? V(t) = Di+ O(1 k What is the acceleration vector? a (t) = (D i+ Write the velocity vector at t=1 as a product of the speed and direction. v(1) = (O [Oi+ DOK] O k] (Type exact answers, using radicals as needed.)
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