Tutorial Exercise Your dog is running around the grass in your back yard. He undergoes successive displacements 3.61 m south, 7.95 m northeast, and 16.7 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 +î. Pay attention to negative signs and measure angles counterclockwise from the east (positive x axis). The three displacements can be written as: ď₁ = (-3.61 ✓ ĵ) m ď₂ and d = (7.95 = 5.62 ✓ cos 45 îm + 5.62 °)î m + (7.95 m sin 45 ✓ ĵm °)ĵ m (-14 Your response differs from the correct answer by more than 10%. Double check your calculations.Î) m.

Tutorial Exercise Your dog is running around the grass in your back yard. He undergoes successive displacements 3.61 m south, 7.95 m northeast, and 16.7 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 +î. Pay attention to negative signs and measure angles counterclockwise from the east (positive x axis). The three displacements can be written as: ď₁ = (-3.61 ✓ ĵ) m ď₂ and d = (7.95 = 5.62 ✓ cos 45 îm + 5.62 °)î m + (7.95 m sin 45 ✓ ĵm °)ĵ m (-14 Your response differs from the correct answer by more than 10%. Double check your calculations.Î) m.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Tutorial Exercise
Your dog is running around the grass in your back yard. He undergoes successive displacements 3.61 m south, 7.95 m northeast, and 16.7 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 +î. Pay attention to negative signs and measure angles counterclockwise from the east
(positive x axis). The three displacements can be written as:
Ĵ) m
d₁ = (-3.61
1
d₂
2
and d
= (7.95
= 5.62
=
cos 45
îm + 5.62
°)î m + (7.95 m sin 45
Ĵm
°)ĵ m
( -14
X
Your response differs from the correct answer by more than 10%. Double check your calculations.î) m.

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