1. The position function for a moving object is r(t) = < 7et-2 - t², t² - 3t, ½-½ a. The value of t when the object has the position vector <3, -2, 1> >. Find the following: b. The velocity and acceleration vectors at the t-value you found above. c. The angle between the velocity and acceleration vectors you found above. Is the object speeding up or slowing down?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
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1. The position function for a moving object is r(t) = < 7et-2 - t², t² - 3t, ½-½
a. The value of t when the object has the position vector <3, -2, 1>
>. Find the following:
b. The velocity and acceleration vectors at the t-value you found above.
c. The angle between the velocity and acceleration vectors you found above. Is the object speeding up or slowing down?
Transcribed Image Text:1. The position function for a moving object is r(t) = < 7et-2 - t², t² - 3t, ½-½ a. The value of t when the object has the position vector <3, -2, 1> >. Find the following: b. The velocity and acceleration vectors at the t-value you found above. c. The angle between the velocity and acceleration vectors you found above. Is the object speeding up or slowing down?
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