Plz solve completely within 25 minutes will definitely upvote PhysicsYour dog is running around the grass in your back yard. He undergoes successive displacements 3.61 m south, 8.41 mnortheast, and 13.1 m west. What is the resultant displacement?Step 1On a morning after a raccoon has wandered through the back yard, your faithful dog is running around with his nosedown, excitedly tracking back and forth on the ground. He will end up somewhat northwest of his starting point.Step 2We use the unit-vector addition method. It is just as easy to add three displacements as to add two.Step 3Take the direction east to be along the positive x axis with a unit vector of +1. Pay attention to negative signs andmeasure angles counterclockwise from the east (positive x axis). The three displacements can be written as:j) mď₁ = ({d₂=and10== (COSim+i) m.i m+ (8.41 m sinjm°)j m

According to question we need to find resultant displacement.

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Physics

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University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 41P: A trapper walks a 5.0-lan straight-line distance from her cabin to the lake, as shown in the...

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Physics
Your dog is running around the grass in your back yard. He undergoes successive displacements 3.61 m south, 8.41 m
northeast, and 13.1 m west. What is the resultant displacement?
Step 1
On a morning after a raccoon has wandered through the back yard, your faithful dog is running around with his nose
down, excitedly tracking back and forth on the ground. He will end up somewhat northwest of his starting point.
Step 2
We use the unit-vector addition method. It is just as easy to add three displacements as to add two.
Step 3
Take the direction east to be along the positive x axis with a unit vector of +1. Pay attention to negative signs and
measure angles counterclockwise from the east (positive x axis). The three displacements can be written as:
j) m
ď₁ = ({
d₂=
and
10
=
= (
COS
im+
i) m.
i m+ (8.41 m sin
jm
°)j m

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