1. A runner starts a race that consists of three legs. For the first leg, she runs 2 miles due north. The second leg consists of running 9 miles due south. For the final leg, she runs another 2 miles due north. How far is he from his starting position? 2. Eric leaves the base camp and hikes 11 km, north and then hikes 11 km east. Determine Eric's resulting displacement. What is the direction of his overall displacement? 3. A man walks 2.6 miles east then turns and walks 6.7 miles north. Where is he in relation to his starting point?

University Physics Volume 1
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Chapter2: Vectors
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Problem 33P: A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following...
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A. Show your complete solution to each of the items.
1. A runner starts a race that consists of three legs. For the first leg, she runs 2 miles due north. The second leg
consists of running 9 miles due south. For the final leg, she runs another 2 miles due north. How far is he from his starting
position?
2. Eric leaves the base camp and hikes 11 km, north and then hikes 11 km east. Determine Eric's resulting displacement.
What is the direction of his overall displacement?
3. A man walks 2.6 miles east then turns and walks 6.7 miles north. Where is he in relation to his starting point?
4. A plane is flying west at 210 m/s with a crosswind blowing south at 85 m/s. What is the resultant velocity of the plane?
5. Add the three force vectors listed below to find the resultant force.
F1 = 30 N@ 45.0°
F2 = 60 N@ 143.0°
F3 = 87 N @ 245°
**All angles are relative to the +x axis.
Transcribed Image Text:A. Show your complete solution to each of the items. 1. A runner starts a race that consists of three legs. For the first leg, she runs 2 miles due north. The second leg consists of running 9 miles due south. For the final leg, she runs another 2 miles due north. How far is he from his starting position? 2. Eric leaves the base camp and hikes 11 km, north and then hikes 11 km east. Determine Eric's resulting displacement. What is the direction of his overall displacement? 3. A man walks 2.6 miles east then turns and walks 6.7 miles north. Where is he in relation to his starting point? 4. A plane is flying west at 210 m/s with a crosswind blowing south at 85 m/s. What is the resultant velocity of the plane? 5. Add the three force vectors listed below to find the resultant force. F1 = 30 N@ 45.0° F2 = 60 N@ 143.0° F3 = 87 N @ 245° **All angles are relative to the +x axis.
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