A particle with a weight of six pounds experiences forces in 3 different directions aside from its weight. The vectors for these forces are the following: F1 = (2i + 6j – 2tk) lb, F2 = (t2i -4tj – 1k) lb, and F3 = (-2ti) lb. All of these are functions of time. If the particle starts from rest, how far will the particle be from the origin after 2 seconds?
A particle with a weight of six pounds experiences forces in 3 different directions aside from its weight. The vectors for these forces are the following: F1 = (2i + 6j – 2tk) lb, F2 = (t2i -4tj – 1k) lb, and F3 = (-2ti) lb. All of these are functions of time. If the particle starts from rest, how far will the particle be from the origin after 2 seconds?
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 8OQ
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A particle with a weight of six pounds experiences forces in 3 different directions aside from its weight. The vectors for these forces are the following: F1 = (2i + 6j – 2tk) lb, F2 = (t2i -4tj – 1k) lb, and F3 = (-2ti) lb. All of these are functions of time. If the particle starts from rest, how far will the particle be from the origin after 2 seconds?
a. 89.2 ft
b. 44.8 ft
c. 32.2 ft
d. 97.4 ft
e. 92.2 ft
f. 23.2 ft
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