You will be hiking to a lake with some of your friends by following the trails indicated on a map at the trailhead. The map says that you will travel 5.30 miles directly north, then 6.01 miles in a direction 35.0 degrees east of north, then finally 1.10 miles in a direction 15.0 degrees north of east. Assume north to be +y and east to be +x At the end of this hike, how far will you be from where you started?

Q: Vector A is 30° below the x-axis. Vector B is 35° to the right of the negative y-axis. You will be…

A: Given data: Angle of vector A with + x-axis = 30° Angle of vector B with - y-axis = 35° Magnitude of…

Q: A hiker starts at his camp and moves the following distances while exploring his surroundings: 66.0…

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Q: hen he did a 90-deg clockwise turn and then moved 50 km further. After that, the ship captain…

A: Given data :-   He started from a harbor in Hawaii and traveled 100 km, 50 degrees W of S.  he did a…

Q: A jogger travels a route that has two parts. The first is a displacement A→ of 2.20 km due south,…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub parts…

Q: Vector 1 is 7 units long and is at 70°. Vector 2 is 5 units long and is at 155°. Vector 3 is 3 units…

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Q: A = 15m due West from one office to another in a company, a man travels as follows: B = 25 m. 53°…

A: A = 15 m, due west B = 25m, 53 degrees east of north C = 20 m due east

Q: Erik and Manuel drive at a compass heading of 270 west of south for 18 km to Trece Martires, then…

A: Resultant of two or more than two vector can be determined by resolving the vectors into its…

Q: A jogger travels a route that has two parts. The first is a displacement A→ of 3.00 km due south,…

A: NOTE: As per guidelines, I can give solution to first three parts of the problem. If you need help…

Q: A dog searching for a bone walks 4.5m west, then 15.5m at an angle 40°north of east, and finally 3m…

A: Note :- : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: Vector A is 3 units in length and points along the positive x-axis, vector B is 4 units in length…

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Q: vector A are: Ax = 5.1 m and Ay= -5 m and the components of B are: Bx= -2.6 m and Ay = -4.3 m. What…

A: This question is based on resultant of vectors.

Q: Your dog is running around the grass in your back yard. He undergoes successive displacements 3.62 m…

A: Answer will be magnitude = 8.283 Direction = 166.925 degree  Now detailed explanation in step by…

Q: "You are out for an early morning walk. You walk 5.0 m, South and 12.0 m, East. Then, you decided to…

A: Let   A = 5m, south  Ax= 0 m, Ay= - 5m B= 12m, east Bx= 12m, By= 0 m C= 4m, south west D = 6m, west

Q: Calculate (a) the x- and (b) y-components of the vector with magnitude 24.0 m and direction 56.0º.

A: Given Magnitude of Vector=24.0 mDirection 56.0°

Q: To get from one office to another in a company, a man travels as follows: A = 15m due West B = 25 m,…

A: Given: A→ = 15 m due west  B→=25 m, 53° East of North  C→= 20 m due East.

Q: The route followed by a hiker consists of three displacement vectors A→ , B→ , and C→ . Vector A→ is…

A: Let B and C be the vector  And A = 1550 m  in magnitude  In vector form , the three vector is…

Q: Vector A : Magnitude: 1.569 N Angle: 0 degrees x-component : 1.569 N y-component : 0 N…

A: Given data The magnitude of vector A is given as A→=1.569 N. The angle between the horizontal axis…

Q: A radar station sends a signal to a ship which is located a distance 13.0 kilometers from the…

A: Solution:                                                                                    We get…

Q: PLEASE HELP

A: a)Displacement vector joins an object’s final position with its initial position and is directed…

Q: Consider the three displacement vectors shown in the figure: Vector A→ has a magnitude of 8.40 km…

A: The vectors can be resolved along x and y axis. For vector A, it is shown below:

Q: While exploring a cave, a spelunker starts at the entrance and moves the following distances: 100 m…

A: Given data S1 = 100m east S2 = 300m south S3 = 150m, 30 degrees south of west S4 = 200m, 60 degrees…

Q: In the figure, which of the indicated methods for combining the x and y components of vector a are…

A: The vectors are always represented by arrows. The length of the arrow shows that the magnitude of…

Q: An old lady, to maintain her health during morning walk, covers three displacements. The first has a…

A: Given:- Three displacement is given as  d1 = 200 m  make an angle of 110o to the positive  x- axis…

Q: To get from one office to another in a company, a man travels as follows: = 25 m, 53° East of Nor =…

A: Given B=25 m, 53o East of North =25 m, 37o North of East.

Q: Your father leaves the office, drives 26 km due North, then turns onto a street and continues in a…

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Q: Vector A is 3 units in length and points along the positive x-axis; vector B is 4 units in length…

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Q: Vector a→a→  has a magnitude of 25 units and makes +20° with the +x-axis. Vector b→b→  has a…

A: We resolve the given vector in component form, a→=25 unitsθ=20oax→=a→cosθ=25cos20o=23.49…

Q: Salim walk six miles in a straight line in a direction north of east, and he end up two miles east…

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Q: A sailboat race course consists of four legs, defined by the displacement vectors A B C and D, as…

A: Given:-  Three displacement vectors have a magnitude as  A=2.70 km B = 5.30 km  and C = 4.40 km…

Q: A figure skater glides along a circular path of radius 3.84 m. (a) If she coasts around one half of…

A: a) The magnitude of the displacement of vector is equal to the diameter of the circle. The…

Q: If the angle between the vector A and the positive x-axis is 40°. What is the x component of the…

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Q: Consider the three displacement vectors shown in the figure: Vector→AA→has a magnitude of 8.30 km…

A: The vector A is in the second quadrant since it is 24o to the left of positive y axis. Write the…

Q: Displacement vector  A→A→ is directed to the west and has magnitude 2.76 km. A second displacement…

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Q: On a safari, a team of naturalists sets out toward a research station located 6.1 km away in a…

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Q: A sailboat race course consists of four legs, defined by the displacement vectors , B,č, and 5, as…

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Q: A postal employee drives a delivery truck along the following route. He drives 7km due east, 2km due…

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Q: (a) Find A + B graphically. magnitude direction o counterclockwise from the +x axis (b) Find A B…

A: Magnitudes of A→ and B→ is the same and is equal to 3.10 m Direction of A→ is θ=23o

Q: What is the magnitude of the resultant of vectors A = 10 units 30 degrees North of East and B = 20…

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Q: Dr. B takes her dog ada on a walk. they start out heading south for 0.75 miles. then they turn left…

A: The displacement is a vector quantity that means it has both magnitudes as well as the direction. It…

Q: Use the graphical technique for adding vectors to find the total displacement of a person who walks…

A: Take a graph paper, scale, and protector. On the graph paper, assume the length of 1 by 1 block is 5…

Q: Vector D is in the direction 34.0 deg clockwise from the -y-axis. The x- component of Vector D is…

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Q: Vector C has a magnitude of 22.2 m and points in the –y- direction. Vectors A and B both have…

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Q: A boy named Jose walks westward for 5 km and then northward for 5 km and then 5 km southwest. If he…

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Q: How far due north and how far due east would she have to walk to arrive at the same location?

A: Given data: The distance travel by the person in north-east direction is: d=2.90 km The angle made…

Q: Vector A has magnitude 29 and direction 284 degrees. Vector B has magnitude 22 and direction 165…

A: Given ,  magnitude of vector A = 29 direction of A = 284 degrees magnitude of vector B = 22…

Q: An ocean liner leaves New York City and travels 17.5 ° north of east for 111 km. How far east and…

A: Given value--- angle = 17.5 degree North of east.  displacement = 111 km. We have to find--- How…

Q: A GPS receiver told you that your home was 15.0 km at a direction 40° north of west but the only…

A: GivenResultant location of home, R=15.0 km ,40° N of WDistance walked in north direction, P=10 km

Q: He walks 2.0 km north, then turns and walks 4.0 km south of east. What is his displacement vector?…

A: Write the given values with suitable variables. d1=2 kmd2=4 km Here, d1 denotes the distance in the…