In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day and he is blown along the following directions: 2.50 km and 45 .0 ° north of west, then 4.70 km and 60 .0 ° south of east, then 1.30 km and 25 .0 ° south of west, then 5.10 km straight east, then 1.70 km and 5 .00 ° east of north, then 7.20 km and 55 .0 ° south of west, and finally 2.80 km and 10 .0 ° north of east. Use a graphical method to find the castaway’s final position relative to the island.
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day and he is blown along the following directions: 2.50 km and 45 .0 ° north of west, then 4.70 km and 60 .0 ° south of east, then 1.30 km and 25 .0 ° south of west, then 5.10 km straight east, then 1.70 km and 5 .00 ° east of north, then 7.20 km and 55 .0 ° south of west, and finally 2.80 km and 10 .0 ° north of east. Use a graphical method to find the castaway’s final position relative to the island.
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day and he is blown along the following directions: 2.50 km and
45
.0
°
north of west, then 4.70 km and
60
.0
°
south of east, then 1.30 km and
25
.0
°
south of west, then 5.10 km straight east, then 1.70 km and
5
.00
°
east of north, then 7.20 km and
55
.0
°
south of west, and finally 2.80 km and
10
.0
°
north of east. Use a graphical method to find the castaway’s final position relative to the island.
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0° north of west, then 4.70 km and 60.0° south of east, then 1.30 km and 25.0° south of west, then 5.10 km due east, then 1.70 km and 5.00° east of north, then 7.20 km and 55.0° south of west, and finally 2.80 km and 10.0° north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?
Two vectors, A and B, have magnitudes of 5.40 units and 9.81 units, respectively. The angle between A and B is 48.5°. What is A B?
A. B =
A hiking girl needs to go 24.8 km straight North to get to base camp, instead the compass confuses her and she travels 11.904 km at a 6.1° deflection East from straight North. Then she realizes what she has done and so guesses an angle of 15.5° deflection West of straight North and then hikes 19.592 km. What is the magnitude of her displacement from where she is now located to base camp. (put your answer is standard units)
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