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The path of a roller coaster is given by the vector function 7(t) = (x(t), y(t), z(t)). Which of the following descriptions matches the velocity and acceleration functions i(t) = 7'(t) and a(t) =7"(t) at the moment when the car reaches the top of a loop-the-loop (as pictured below)? %3D O (t) is horizontal pointing in the opposite direction of travel a(t) points toward the center of the loop O (t) is horizontal pointing in the direction of travel a(t) points toward the center of the loop O 3(t) is horizontal pointing in the opposite direction of travel a(t) points away from the center of the loop O (t) is horizontal pointing in the direction of travel a(t) points away from the center of the loop

The path of a roller coaster is given by the vector function 7(t) = (x(t), y(t), z(t)). Which of the following descriptions matches the velocity and acceleration functions i(t) = 7'(t) and a(t) =7"(t) at the moment when the car reaches the top of a loop-the-loop (as pictured below)? %3D O (t) is horizontal pointing in the opposite direction of travel a(t) points toward the center of the loop O (t) is horizontal pointing in the direction of travel a(t) points toward the center of the loop O 3(t) is horizontal pointing in the opposite direction of travel a(t) points away from the center of the loop O (t) is horizontal pointing in the direction of travel a(t) points away from the center of the loop

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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The path of a roller coaster is given by the vector function T (t) = (x(t), y(t), z(t)). Which of the following descriptions matches the velocity and acceleration functions i(t) =7'(t) and a(t) ="(t) at the moment when the car reaches the top of a loop-the-loop (as pictured below)? O u(t) is horizontal pointing in the opposite direction of travel a(t) points toward the center of the loop O u(t) is horizontal pointing in the direction of travel a(t) points toward the center of the loop O (t) is horizontal pointing in the opposite direction of travel a(t) points away from the center of the loop O(t) is horizontal pointing in the direction of travel a(t) points away from the center of the loop
Transcribed Image Text:The path of a roller coaster is given by the vector function T (t) = (x(t), y(t), z(t)). Which of the following descriptions matches the velocity and acceleration functions i(t) =7'(t) and a(t) ="(t) at the moment when the car reaches the top of a loop-the-loop (as pictured below)? O u(t) is horizontal pointing in the opposite direction of travel a(t) points toward the center of the loop O u(t) is horizontal pointing in the direction of travel a(t) points toward the center of the loop O (t) is horizontal pointing in the opposite direction of travel a(t) points away from the center of the loop O(t) is horizontal pointing in the direction of travel a(t) points away from the center of the loop
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