Two objects E and F are traveling by the following parametrically defined functions x = 2t - 4 x = 2t y = t - 1 y = t + 1 a. If the paths of the objects E and F intersect at (6,4), at what time do they intersect if the parameter t stands for time? b. Write an equation d(t) that represents the distance between the two objects E and F at any point in time. Graph d(t). c. What do you notice about the graph of d(t)? What does this tell us about the objects E and F?
Two objects E and F are traveling by the following parametrically defined functions x = 2t - 4 x = 2t y = t - 1 y = t + 1 a. If the paths of the objects E and F intersect at (6,4), at what time do they intersect if the parameter t stands for time? b. Write an equation d(t) that represents the distance between the two objects E and F at any point in time. Graph d(t). c. What do you notice about the graph of d(t)? What does this tell us about the objects E and F?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 51E
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Two objects E and F are traveling by the following parametrically defined functions
x = 2t - 4 x = 2t
y = t - 1 y = t + 1
a. If the paths of the objects E and F intersect at (6,4), at what time do they intersect if the parameter t stands for time?
b. Write an equation d(t) that represents the distance between the two objects E and F at any point in time. Graph d(t).
c. What do you notice about the graph of d(t)? What does this tell us about the objects E and F?
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