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4. The trajectory of the spaceship Excelsior during the first 5 minutes of the launch can be represented by an equation for its altitude H(T) = 2008 - 0.047 T³ + 18.3 T² – 345T and an equation for its downrange distance due-east 0.029T R(T) = 4680 e where the distances are provided in units of feet. a) Use the parametric equations for h(T) and R(T) to determine the equation for the speed, S, of the Excelsior along its trajectory where dR + dt ds %3D dt b) Determine the formula for the magnitude of the acceleration of the spaceship Excelsior using the second time derivatives of the parametric equations.

4. The trajectory of the spaceship Excelsior during the first 5 minutes of the launch can be represented by an equation for its altitude H(T) = 2008 - 0.047 T³ + 18.3 T² – 345T and an equation for its downrange distance due-east 0.029T R(T) = 4680 e where the distances are provided in units of feet. a) Use the parametric equations for h(T) and R(T) to determine the equation for the speed, S, of the Excelsior along its trajectory where dR + dt ds %3D dt b) Determine the formula for the magnitude of the acceleration of the spaceship Excelsior using the second time derivatives of the parametric equations.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 53E
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(Excelsior is a jet)

4. The trajectory of the spaceship Excelsior during the first 5 minutes of the launch can be represented by an equation for its altitude H(T) = 2008 - 0.047 T³ + 18.3 T² – 345T %3D and an equation for its downrange distance due-east 0.029T R(T) = 4680 e where the distances are provided in units of feet. a) Use the parametric equations for h(T) and R(T) to determine the equation for the speed, S, of the Excelsior along its trajectory where ds dR. = ( G dt dt dt b) Determine the formula for the magnitude of the acceleration of the spaceship Excelsior using the second time derivatives of the parametric equations.
Transcribed Image Text:4. The trajectory of the spaceship Excelsior during the first 5 minutes of the launch can be represented by an equation for its altitude H(T) = 2008 - 0.047 T³ + 18.3 T² – 345T %3D and an equation for its downrange distance due-east 0.029T R(T) = 4680 e where the distances are provided in units of feet. a) Use the parametric equations for h(T) and R(T) to determine the equation for the speed, S, of the Excelsior along its trajectory where ds dR. = ( G dt dt dt b) Determine the formula for the magnitude of the acceleration of the spaceship Excelsior using the second time derivatives of the parametric equations.
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