A treasure hunter following a map walks 11 meters south, 9 meters east, 2 meters north, and 4 meters west. Find the (x,y) coordinates of the treasure hunter’s displacement, and the magnitude of the displacement vector.

Q: In the figure below, a vector a with a magnitude of 21.0 m is directed at an angle 0 = 56.0°…

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Q: Consider the following three displacement vectors: Vector À has a magnitude of 3.60 km and a…

A: A→ = 3.60 km @30o south of west B→ = 7.30 km @15o north of westC→ = 3.10 km @54o north of east

Q: force vector has components given by Fx = −7.20 N and Fy = 4.95 N. Find the following. (a) the…

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Q: The magnitudes of the four displacement vectors shown in the drawing are A=15.0m; B=11.0m; C=13.0m…

A: It is given thatA=15 mR=11 mC=13 mD=23 mThe given problem can be solved by first converting…

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: The two vectors á and b in the figure have equal magnitudes of 14.6 m and the angles are e, = 30°…

A: θb=180°-θ1+θ2=180°-30°+106°=44°

Q: A man walked 11 km towards the north, turned east and walked 6 km, then he turned south and walked 3…

A: Given data: -  The distance traveled in the north direction is N = 11 km. The distance traveled in…

Q: A cruise ship leaving a port travels 50 km and 45 degrees north of west and then 70 km and 70…

A: First the ship travels from A to B and then B to C. AB→=50 km-cos45oi^+sin45oj^BC→=70…

Q: Consider the 2D vectors A and B. A has a magnitude of 3.5 and a polar angle of 55 degrees, while B…

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

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

Q: Borsalino wants to buy some ice cream in the nearest convenience store. He has to walk 5.3 meters,…

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Q: Which of the following statements are true of a plane that is parallelto the yz-plane?(a) n = (0, 0,…

A: Equation of normal vector is as follows: n=x,y,z For  the given case, n=0,0,1 Direction of given…

Q: o visit your favorite ice cream shop, you must travel 490 m west on Main Street and then 950 m south…

A: Total distance traveled is d=d1+d2=490 m+950 m=1440 m

Q: Displacement vector A points due east and has a magnitude of 3.41km. Displacement vector B points…

A: Concept:-  The resultant of vectors can be given by vectors                       sum of all the…

Q: A small plane flies a distance d1 = 46 km in a direction θ1 = 62o north of east and then flies d2 =…

A: Depict the path followed by the small plane using the given co-ordinates,

Q: 2i+j+3k represents a vector. a)Determine the magnitudes of the x, y, and z components, b) R's…

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Q: A student on a treasure hunt undergoes three displacements in search of the treasure, as shown…

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Q: The displacement vectors A and B shown in the figure below both have magnitudes of 1.70 m. The…

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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: omponents of vectors A, B, and C. B. The resulting vector D (D = A + B + C)

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Q: A vector has a magnitude of 12. When its tail is at the origin it lies between the positive x axis…

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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: Given that vectors T = + 2.00x + 6.00y – 4.00z and D = 2.00x – 3.00y – 4.00z The angle between the…

A: Given that Vector T = +2x + 6y - 4z Vector D = 2x - 3y - 4z

Q: The angles γ1 (with the X-Axis.),γ2 (with the Y- Axis ) and γ3 (with Z- Axis) that the vector v̄ of…

A: Given  magnitude of vector (v)=50  angle with x-axis=750 angle with y-axis=600 angle with z…

Q: In the figure, a vector a with a magnitude of 20.3 m is directed at angle 0 = 46° counterclockwise…

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Q: Vector A has a magnitude 28 and points to the east. Vector B has a magnitude 19 and points north. a.…

A: Magnitude of vector A = 28 points to east Magnitude of vector B = 19 and points

Q: Vector A has a magnitude 11 and angle 27 degrees. Vector B had a magnitude 13 and angle 115 degrees.…

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Q: Addition of Vectors. Vector A has a magnitude of 3 units directed 30° south of east while Vector B…

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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: Consider a tower 50 m south from your home, where the coordinate frame is centred at your home, such…

A: For the given condition the coordinates of the foot of the tower are given as (0, - 50, 0)  and the…

Q: Given the two vectors A = (3.00)î - (1.57)j and B = (-4.00)î + (3.95)j, determine the following for…

A: a) The required resultant vector is, b) The required magnitude of resultant vector is,

Q: A hiker walks 2.5 miles in a direction 65° West of North, then 3.5 miles in a direction 40° South of…

A: A vector is a physical quantity that has both magnitude and direction. The resultant vector is found…

Q: or A has magnitude 1.0 m and points 35◦ above the x-axis. Vector B has magnitude 1.8 m. Find the…

A: Given: The magnitude of vector A is 1 m. The direction of vector A is 35o above the positive x-axis.…

Q: Consider the following vectors: A = 5.2j;  B = -4.1i + 2.5j.  Draw a diagram showing the addition of…

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

Q: Three displacement vectors of a croquet ball are shown in the figure, where |A| = 12.0 units, |B| =…

A: Given Data : The magnitude of the vector A→=12 units The magnitude of the vector B→=35 units The…

Q: To get from one office to another in a company, a man travels as follows:  Which of the following…

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Q: Find the vector A with a magnitude of 5 in the same direction of Vector B = 2ax - 4ay and find tge…

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Q: (6.00 m )î – (4.50 m )ĵ and B (9.00 Jî + (12.0 m )j. What are (a) the magnitude and Here are two…

A: magnitude of a vector =(Ax 2 +Ay 2  )1/2

Q: hiker walks along the city streets 20 km north then 9km east . What is the direction of the…

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Q: Vector A has a magnitude of 10.84 m and points 16° north of east. Vector B has a magnitude of 6.91 m…

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Q: s shown in the diagram below, a soccer player kicks a ball directly toward the goal along a…

A: Given:r→=9.2 mθ = 30°…

Q: A runaway dog walks 0.64 km due north. He then runs due west to a hot dog stand. If the magnitude of…

A: Dog run north =0.64km Total displacement vector =0.91km

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: Draw the following vectors. A= 50 units, 500, B= 100 units, 950, C= 120 units, 1700, D= 150 units,…

A: In this problem, all the angles are measured from the positive x-axis and in counter clockwise…

Q: Consider three vectors A,B and C all lying in the æ y plane. Vector A has length 6.2 and makes an…

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Q: A ship captain is sailing through the Pacific Ocean. He started from a harbor in Hawaii and…

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Q: If Vector A is 50cm, Vector B is 30cm and Vector C is 20cm, then how would a graphical…

A: The vector T is the sum vectors A, B and C

Q: On what quadrant is the vector -3i - 15j located? On what quadrant is the vector 3i + 15j located?…

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Q: Consider the two vectors, A = 14x + 16y B = 3.3x-3.5y Part (a) What is the magnitude of the vector A…

A: As per the answering guidelines we will solve first three Parts. Please upload rest of the parts…

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…

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.