College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Textbook Question
Chapter 3, Problem 16PE
Solve the following problem using analytical techniques: Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in
Note that you can also solve this graphically. Discuss why the analytical technique for solving this problem is potentially more accurate than the graphical technique.
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Solve the following problem using analytical techniques: Suppose you walk 17.5 m straight west and then 25.5 m straight north. How far are you from your starting point, and what is the compass direction of a line
connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in the figure below, then this problem asks you to find their sum R = A + B. Give
the direction in degrees north of west.)
magnitude
direction
B
A
R
A+B=R
m
° north of west
W
N
S
E
Solve the following problem using analytical techniques:Suppose you walk 18.0 m straight west and then 25.0 mstraight north. How far are you from your starting point, andwhat is the compass direction of a line connecting yourstarting point to your final position? (If you represent the twolegs of the walk as vector displacements A and B , then this problem asks you to find their sumR = A + B .)Note that you can also solve this graphically. Discuss why theanalytical technique for solving this problem is potentiallymore accurate than the graphical technique
Suppose you first walk A = 11.0 m in a direction 0₁ = 17° west of north and then B = 24.5 m in a direction 0₂ = 39.0° south of west. How far are you from your starting point, and what is the compass direction of
a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in the figure below, then this problem finds their sum R = A + B. Give the
direction in degrees south of west.)
distance
direction
A+B=R
B
0₂
R
m
A
YA
W
-0₁
° south of west
N
S
X
E
Chapter 3 Solutions
College Physics
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