An object is moving in the xy-plane and its position after t-seconds is r(t) = ‹t - 3, t2 - 3t›. (a) Find the position of the object at time t = 6. ( , ) (b) At what time is the object at the point (0, 0)? t = (c) Does the object pass through the point (4, 32)? Yes No     (d) Find an equation in x and y whose graph is the path of the object.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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An object is moving in the xy-plane and its position after t-seconds is r(t) = ‹t - 3, t2 - 3t›.

(a) Find the position of the object at time t = 6.
( , )

(b) At what time is the object at the point (0, 0)?
t =

(c) Does the object pass through the point (4, 32)?
Yes No    

(d) Find an equation in x and y whose graph is the path of the object.
 
 
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