At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 8.50 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 55.0 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?  yards (b) What if? The receiver that catches the football travels 64.0 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?

Q: If the +x- and +y-axes point to East and North respectively, what are the components of vector A=…

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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: The pilot of a private plane flies 20.0 km in direction 60° north of east, then 30.0 km straight…

A: The condition given in the question is plotted as given diagram.

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: An object travels along the vector d1 = 4m į + 5m j and then along the vector d2 = 2m į - 3m j. How…

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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 commuter airplane starts from an airport and takes the route shown in Figure P3.17. The plane…

A: Using the given figure- The displacement vector of the airplane from point O to A,…

Q: Find the x and y components of the four vectors shown in the drawings

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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: A student walks 1 km due east and 3 km due south. Then she runs 5 km due west. The magnitude of the…

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

A: Let

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

A: (1) 27.0 cm, due west; (2) 23.0 cm, 35o south of west; (3) 28.0 cm, 55o south of east, and (4) 35.0…

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: Starting at the origin, a person walks 350 meters in a direction 30.0° South of West, then 570…

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Q: 1.36 A surveyor sights a target at C from points A and B, recording the angles shown. Determine the…

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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: If you walk 38 steps at an angle of 76 (relative to the positive x-axis) and then turn and go 45…

A: Displacement is the shortest distance between two pointsIf an object moves from position r1 →to r2…

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

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Q: What are the x- and y-components of the vector which has a magnitude 4.5 and points 150 west of…

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Q: What's the resultant displacement vector C=A+B as a magnitude and direction? Given 2 vectors:…

A: Given: The vectors, A = 4.00i + 7.00j B = 5.00i - 3.00j

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: 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: 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: Add these three vectors and give just the magnitude (or length of the resultant, that is do steps…

A: For the given three vectors :R⇀=A→+B→+C→

Q: If C = [10 m, 30°] and D = [25 m, 130°], what is the magnitude of the sum of these two vectors? (C…

A: The sum of vectors C and D is calculated as shown below. C+D=10 mcosθi^+10 msinθj^+25 mcosθi^+25…

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

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Q: 3 km due south.

A: The situation is represented as:

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: If a car travels 259 m east and then 431 m to the north, with what angle does the final displacement…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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: 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: 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: 1. Vector A = 1.00 i +-2.00 jand vector B-3.00 +4.00. What are the magnitude and i direction of…

A: Given:A→ =1 i^ - 2 j^B→ =1 i^ - 2 j^Solution:C→ = A→ + B→Applying values we get:C→ =1 i^ - 2 j^ + 1…

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: 6. A student walks 1.0 kilometer due east and 3.0 kilometer due south. Then she runs 5.0 kilometers…

A: Given,        1KM due East        3KM due south       5KM due west    displacement is the shortest…

Q: The baseball diamond is a square with sides 27.4m (90 ft) long. If the positive x axis points from…

A: Given data The parameter of the square is given as a = 27.4 m. The initial point for the baseball…

Q: Starting at the origin, a person walks 350 meters in a direction 30.0° South of 20 West, then 570…

A: d1→ = 350 m ×( -cos30oi^ - sin30oj^)d1→ = -303.1i^ - 175j^ m d2→ = 570 m ×( -sin35oi^ + cos35oj^)d2→…

Q: Three vectors, of magnitudes 10 mm, 15 mm and 50 mm, are added together. Which one of the following…

A: When two vectors A and B of magnitude a and b are added then the magnitude of the resultant vector…

Q: Melinda is taking a tour through a new city. On the tour, she walks 0.40 miles south, 0.65 miles…

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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…