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The equation r(t) = (3t + 5) i+ (4t - 5) j+(4t) 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=0 as a product of its speed and direction. What is the velocity vector? v(t) = ( 3) i+ ( 81) j+ (4) k What is the acceleration vector? a(t) = (0) i+ (8) j+ (0) k Write the velocity vector at t= 0 as a product of the speed and direction. 8 v(0) = (/85)| i+ V89 J89 j+ /89 (Type exact answers, using radicals as needed.)

The equation r(t) = (3t + 5) i+ (4t - 5) j+(4t) 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=0 as a product of its speed and direction. What is the velocity vector? v(t) = ( 3) i+ ( 81) j+ (4) k What is the acceleration vector? a(t) = (0) i+ (8) j+ (0) k Write the velocity vector at t= 0 as a product of the speed and direction. 8 v(0) = (/85)| i+ V89 J89 j+ /89 (Type exact answers, using radicals as needed.)

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) = (3t + 5) i+ (4t - 5) j+ (4t) 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=0 as a product of its speed and direction. What is the velocity vector? v(t) = ( 3) i+ ( 8t) j+ (4) k What is the acceleration vector? a(t) = (0) i+ (8) j+ (0) k Write the velocity vector at t= 0 as a product of the speed and direction. 8 v(0) = (/89 i+ V89 j+ V89 V89 (Type exact answers, using radicals as needed.)
Transcribed Image Text:The equation r(t) = (3t + 5) i+ (4t - 5) j+ (4t) 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=0 as a product of its speed and direction. What is the velocity vector? v(t) = ( 3) i+ ( 8t) j+ (4) k What is the acceleration vector? a(t) = (0) i+ (8) j+ (0) k Write the velocity vector at t= 0 as a product of the speed and direction. 8 v(0) = (/89 i+ V89 j+ V89 V89 (Type exact answers, using radicals as needed.)
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