At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 9.00 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 40.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball? Answer:  34.4 yards What if? The receiver that catches the football travels 67.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run? _______________________yards

Q: if three vectors with magnitude 30, 40, 50 are added together, which of the following cannot…

A: Given : Three vectors with magnitude 30, 40, 50

Q: Two vectors, of magnitudes 20 and 30, are added. Which one of the following is a possible answer for…

A: The magnitude given are 20 and 30

Q: I’m confused on p 3.19.

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Q: A watermelon seed has the following coordinates: x = -3.3 m, y = 8.9 m, and z = 0 m. Find its…

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Q: 15m, 45 degrees + 5m, 315 degrees + 10m, 240 degrees

A: A vector can be written as A̅ =Ax î +Ay ĵ

Q: Vector A has a magnitude of 2.00 m and vector B has a magnitude of 5.00 m. If the direction of each…

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

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Q: Vector Å has a magnitude 5.00 and points in a direction 40.0° clockwise from the negative y axis.…

A: Given information: Here A is the magnitude of the vector A and θ is the angle made by the vector A…

Q: What is the resultant magnitude when adding the two vectors below 23 N 23 46 23 /2 529 N EZ

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Q: Two vectors, of magnitude 30 and 60 respectively, are added. Which one of the following choices is a…

A: The magnitude of the 1st vector is R1 = 60 units The magnitude of 2nd vector is R2 = 30 units

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: Given the following vector components of vectors C and D: Cx = 7.40, Cy = 4.60,  Dx = 6.20, Dy =…

A: Let

Q: Let vectors A⃗=(2,−4) A → = ( 2 , − 4 ) and B⃗=(−3,1) B → = ( − 3 , 1 ) . Calculate the following:…

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

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Q: A commuter airplane starts from an airport and takes theroute shown in Figure P1.71. The plane first…

A: The location of the cities is depicted below:

Q: If the vector A = I – 2j and the vector B = 4i – 5j , what angle does A + B form with the x-axis?

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Q: Estimate the magnitude and direction of the resultant given the following vectors. A = 10 steps,…

A: We have two vector A = 10 steps, due East B = 16 steps, 60° South of East

Q: A watermelon seed has the following coordinates: x = -1.4 m, y = 3.6 m, and z = 0 m. Find its…

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Q: A novice golfer on the green takes three strokes to sink the ball. The successive displacements are…

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Q: Vector A is 2.80 cm long and is 60.0 degrees above the x-axis in the first quadrant. Vector B is…

A: Given data The length of the vector A is lA = 2.80 cm. The angle made by the vector A with the…

Q: You are riding a sailboat in the open sea. Because of the winds in the area, you sail 2.00 km east,…

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

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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: | The displacement vectors A and B shown in Eigure P3.9 both have magnitudes of 3.00 m, The…

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

Q: Given that vectors T = + 2.00x + 6.00y – 4.00z and     D = 2.00x – 3.00y – 4.00z…

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Q: An engineer designs a roller coaster so that a car travels horizontally angle of 46.0° below the…

A: The total displacement x direction,

Q: A grasshopper makes four jumps. The displacement vectors are (1) 27.0 cm, due west; (2) 23.0 cm, 35o…

A: Consider a vector (A) in the XY-plane as shown below:     It makes an angle (θ) with the x-axis and…

Q: Can someone help me please Given the following three vectors: A: 300 m at 50° and B: 40 m at 150°…

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Q: In a game of lawn chess, where pieces are moved between the centers of squares that are each 1.00 m…

A: The position of the knight after it moves two squares forward and one square rightward is The…

Q: The components of vector 4 are Ax = +2.2 and Ay = -6.9, and the components of vector B are given are…

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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: o vectors with a resultant of 14.54 km 10* NE. If one of the vectors is 10 km due east, what is the…

A: Given values:- Resultant vector,(R)=14.54 km ----(1) Angle,(θ)=10 0 ----(2) One of the…

Q: You found a treasure map! It said, start at the well, go 100 m straight south, then 30 m, 40 degrees…

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Q: A grasshopper makes four jumps. The displacement vectors are (1) 27.0 cm, due west; (2) 23.0 cm, 35o…

A: Given data: The first displacement vector of grass hopper towards west is A=27.0 cm. The second…

Q: Given vectors a=(5,3) and b=(-1,-2) Find the x-component of the resultant vector: T = 2 a + 36

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Q: What is the magnitude of the resultant of vector A moving 21 km/hr, north and vector B heading 12…

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Q: A surveyor sights a target at C from points A and B, recording the angles shown. Determine the…

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Q: Given the following vectors: A = 80.0 N 25.00 south of east, B = 100. N 82.00 north of east…

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Q: Vector A, which is shown in the figure, has a magnitude of 10 and a direction angle of 60°. What is…

A: Given data:  Magnitude of vector A = 10 m Angle = 60° Required: The magnitude and direction angle of…

Q: If vector A=[15, 80 degrees] and vector B= 12i - 16j, then what is the magnitude of A-B?

A: Given:

Q: What is the sum of the following four vectors in (a) unit-vector notation, and as (b) a magnitude…

A: A→=(2.00m)i^+(3.00m)j^ B→= 4.00 m, at 65.0° = 4 ×[ cos65oi^ + sin65oj^]= 1.69i^ + 3.62j^ m…

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.