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Consider a spacecraft orbiting a space station that is at the point (5,3,4). The position function of the spacecraft is 3 4+2). t+ r(t) = (2+t,3 + ½ The spacecraft is short on fuel. Since they are in space there is no friction. Therefore, if they cut their engine they will continue to travel in the direction of their velocity. When should they stop their engine so that they reach the space station? What is there position when they stop their engine and what will their new position function be?

Consider a spacecraft orbiting a space station that is at the point (5,3,4). The position function of the spacecraft is 3 4+2). t+ r(t) = (2+t,3 + ½ The spacecraft is short on fuel. Since they are in space there is no friction. Therefore, if they cut their engine they will continue to travel in the direction of their velocity. When should they stop their engine so that they reach the space station? What is there position when they stop their engine and what will their new position function be?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 7DE
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Consider a spacecraft orbiting a space station that is at the point (5,3,4). The position function of the spacecraft is 3 4+2). t+ r(t) = (2+t,3 + ½ The spacecraft is short on fuel. Since they are in space there is no friction. Therefore, if they cut their engine they will continue to travel in the direction of their velocity. When should they stop their engine so that they reach the space station? What is there position when they stop their engine and what will their new position function be?
Transcribed Image Text:Consider a spacecraft orbiting a space station that is at the point (5,3,4). The position function of the spacecraft is 3 4+2). t+ r(t) = (2+t,3 + ½ The spacecraft is short on fuel. Since they are in space there is no friction. Therefore, if they cut their engine they will continue to travel in the direction of their velocity. When should they stop their engine so that they reach the space station? What is there position when they stop their engine and what will their new position function be?
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When should they stop their engine so that they reach the space station? What is there position when they stop their engine?

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