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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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