A straight river flows east at a speed of 10 mi/h. A boater starts at the south shore of the river and heads in a direction 60 degrees from the shore. The motorboat has a speed of 18 mi/h relative to the water. (Assume that the i vector points east, and the j vector points north) a) Express the velocity of the river as a vector in component form b) Express the velocity of the motorboat relative to the water as a vector in component form. c) Find the velocity of the motorboat d) Find the speed of the motor boat (mi/h) d) Find the direction of the motor boat: N _____ degrees E

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: Suppose you first walk A = 11.0 m in a direction 0₁ = 17° west of north and then B = 24.5 m in a…

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Q: A jet is flying through a wind that is blowing with a speed of 50 mi/h in the direction N 30° E (see…

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Q: O O O O O Consider two vectors A and B of magnitude 2 and 3 respectively. The sum of these two…

A: For, the resultant vector we need two vectors and the angle between them.

Q: A straight river flows east at a speed of 12 mi/h. A boater starts at the south shore of the river…

A: Since, you have uploaded a question with multiple sub-parts and the first sub-part is solved, we…

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

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

A: Draw the schematic diagram of the position.

Q: To get from one office to another in a company, a man travels as follows: B = 25 m, 53° East of…

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Q: 2. A runaway dog walks 0.64 m due north. He then runs due west to a hot dog stand. If the magnitude…

A: Given that Displacement towards north OA = 0.64 m Net displacement OB = 0.91 m

Q: A displacement vector is 21 km in length and is directed 60 degrees S of E. Which of the following…

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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: FF $ € U E 72 degrees 90 degrees O 18 degrees Ⓒ270 degrees O 342 degrees O 162 degrees O 252 degrees…

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Q: In midtown Monrovia, the street blocks have a uniform size of 80m × 20 m, with the shortest side…

A: The situation is represented in the diagram below. Let the distance walked towards the uptown is…

Q: A U.S. Navy destoyer on patrol travels the following displacements starting from coordinate origin.…

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Q: A room has dimensions 3.00 m (height) 3.70 m 4.30 m. A fly starting at one corner flies around,…

A: Since there are multiple sub-parts posted, we will answer the first three sub-parts for you. If you…

Q: A pilot heads his jet due east. The jet has a speed of 475 mi/h relatives to the air. The wind is…

A: Given The jet has a speed of 475 mi/h relatives to the air. The wind is blowing due north with a…

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

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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: L Find the resultant vector, magnitude of the angle and direction using component method. F2 = 53 km…

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Q: The vector A has a components +5 and +7 along x and y axes respectively. If the vector is now…

A: SOlution: given that  vector A has a components +5 and +7 along x and y axes If the vector is now…

Q: A river flows due south at 2 mi/h. A swimmer attempting to cross the river heads due east swimming…

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Q: An elk runs a pattern given by the three displacement vectors A, B, and C shown in the diagram…

A: Here, it is given that, an elk runs a pattern given by three displacement vectors, A, B and C.  The…

Q: 62. GO A pilot flies her route in two straight-line segments. The displace- ment vector A for the…

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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: A skater glides along a circular path of radius 5.10 m. (a) If he coasts around one half of the…

A: Given data:  Radius of the circular path r = 5.10 m

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 particle undergoes three consecutive displacements given by vectors A = (6.5î – 2.3ĵ – 2.0k) mm, B…

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

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Q: A = 15m due West rom 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 east of north C= 20 m due east

Q: A treasure hunter following a map walks 11 meters south, 9 meters east, 2 meters north, and 4 meters…

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Q: Margaret walks to the store using the following path: 0.650 mi west, 0.290 mi north, 0.210 mi east.…

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Q: Find the x and y components of a vector with magnitude F=15N and direction theta = 35 degrees. Find…

A: Since there are multiple questions posted, we will answer the first question. The x-component of the…

Q: A man runs 5km due to east, 6km due to west and then 1km due to north. Determine its magnitude…

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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: Proceeding from landmark A, a vehicle moves along city streets 10 km north, then 14.2 km northeast,…

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Q: Let: vector L = 3.0 m, 45º Southeast vector M = 4.0 m, 60º Northwest. vector N = 2(vector L) –…

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Q: Given three vectors: A = 30 m, 30° North of East B= 120 m, 60° North of West C= 100 m West a)…

A: Given: The magnitude of A is 30 m. The direction of A is 30 degrees North of East. The magnitude of…

Q: 14. The magnitudes of two vectors  A and  B are 13 units and 8 units, respectively. What are the…

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Q: A student bikes to school by traveling first dN = 1.10 miles north, then dW = 0.300 miles west, and…

A: Vector showing the displacement in north direction is,

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

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

Scalars and Vectors

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