A cruise ship is moving through the water with a speed of 4.80 km/hr in a direction 34.0° east of north (that means 34.0° clockwise from north.) After 3.00 hours, the ship changes course and moves with a speed of 5.40 km/hr for 2.00 hrs in a direction 54.0° south of east (that means 54.0° clockwise from east, [east is to the right]). Find the total displacement of the ship during the whole trip (magnitude and direction.) Use the components method with a head-to-tail diagram

Q: Rev is taking a walk following these magnitudes and directions: 11km North and 11km East. what is…

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Q: 1. Vicky walks 8 km East, then 5 km South and finally 6 km West. Find her resultant displacement. 2.…

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Q: If d1= 3m, 60 degrees east of north, d2= 4m, 45 degrees SW and d3= 6m, 30 degrees NW, what is the…

A: given: d1 = 3 m direction : 60 degrees EN   d2 = 4m direction : 45 degrees SW   d3 = 6m direction :…

Q: A hiker begins a trip by first walking 25.0 km 45.0° south of east from her base camp. On the second…

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Q: Starting in Albany, you travel a distance 406 miles in a direction 14.9 degrees north of west. Then,…

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Q: The vector (3, 45°) is equal to (1.83, 2.83) in rectangular coordinate O (1.83, 1.83) in rectangular…

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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: Vector  A has a magnitude 5.00 and points in a direction 60.0° clockwise from the negative y axis.…

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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 golfer was able to shoot the ball in the hole after three putt: 6 m North, then 2.4 m at an angle…

A: There are 3 shots here which we can consider as 3 vectors. First 6 m north then 2.4 m at an angle…

Q: Given four vectors: 3 newtons 20 degrees south of west; 6 newtons 45 degrees north of west; 4…

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Q: The displacement vectors 42.0 cm at 15.0° and 23.0 cm at 65.0° both start from the origin and form…

A: The first displacement vector in unit vector notation is The second displacement vector in unit…

Q: Given the following three force vectors in terms of their magnitude and directions, find the…

A: Please see the answer below.

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: An arrow fired horizontally at 41 km/hr travels 9.9 m horizontally. From what height was it fired?

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Q: A position vector that belongs to the xy plane is described by the components (x, y) - (-3.00 m,…

A: Cartesian coordinates(X,Y) in polar coordinates are given by X=rcos(theta) Y=r sin(theta) Where r is…

Q: An unidentified naval vessel is tracked by the Navistar Global Positioning System. With respect to a…

A: SOlution: Given that x1 = 2 km west y1 = 1.6 km south t1 = 0.3 h x2 = 6.4 km west y2 = 6.5 km north…

Q: In A Trip From Killarney To Cork, Charlotte And Shona Drive 27 degrees West Of South For 18 Km To…

A: First to calculate Rx and Ry :    Resolving the component of A¯, B¯.C¯

Q: Vector A= 1.008 -2.00P, vector B =3.008 + 4.009. what is the direction of vector 56.3…

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Q: Two displacement vectors when added produce a resultant vector of magnitude 50.0 km pointing 60.00…

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Q: Let 0 be the angle that a vector to make with the x - axis and measured counter clockwise from that…

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Q: A person walks 35° south of west for 4.56 km. How far due west and how far due south does the person…

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Q: Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 6.0 m and points…

A: (given) Vectors are A→, B→ and C→. A→=8 i^B→=6 j^C→=-5 j^ Vector isV→ =A→+B→ +C→    =8 i^+6 j^-5 i^…

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

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Q: Given four vectors: 25 newtons 50 degrees north of east; 16 newtons 75 degrees south of east; 10…

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Q: Find the component and/or resultant vectors. 62 m/s Vx = Angle 0 = Vx 85 m/s V V = 11.1 m/s Angle 0…

A: The component vector Vx=hyp2-adj2=85 m/s2-62 m/s2=58.1 m/s≈58 m/s

Q: IVGSX Vector A is 5 units in length and directed 48.0° north of east, and vector B is 2 units in…

A: magnitude of vectorA, A→=5B, B→=2

Q: The resultant of three vectors is 90.00 cm 34 degrees North of West. If two of these three vectors…

A: Resultant vector (R→) = 90 cm ( -cos(34o)i^ + sin(34o)j^)= -74.6i^ + 50.32j^ cm Let one of the…

Q: Starting in Albany, you travel a distance 371 miles in a direction 26.3 degrees north of west. Then,…

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Q: Given four vectors: 25 newtons 50 degrees north of east; 16 newtons 75 degrees south of east; 10…

A: Given: A=25 N (50 N of E)B=16N (75 S of E)C=10 N (35 E of N)D=30N (S)

Q: Find the resultant vectors. 1. A 10 M, NORTH = B = 20 M, NORTH 2. C= 15 M, WEST D = 20 M, WEST 3.…

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Q: An ocean liner leaves New York City and travels 16.2° north of east for 117 km. How far east and how…

A: a) The distance travelled along East direction is    DEast=(117 km)cos16.2o           =112 km

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

A: In this question we have to determine the magnitude and direction of the resultant vector. Please…

Q: Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your…

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Q: A person walks 66˚ west of north for 2.93 km. How far due north and how far due west would she have…

A: Answer  option(1)1.19 km north and 2.68 km west

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: While playing Pokémon Go, a CLSU students walks 100.0 m, 25.0 degrees South of East from the Rizal…

A: first leg of displacement = 100 m @ 25 degree south of eastsecond leg of displacement = 150 m @35…

Q: Magnitude & Direction 8.6m @ 51.46ragel y-component 7.00 m Vector x-component 5.00 m -2.10 4.99 9.00…

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Q: Starting in Albany, you travel a distance 108 miles in a direction 12.0 degrees north of west. Then,…

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Q: Vector A has a magnitude of 6.0 m and points 30° north of east. Vector B has a magnitude of 4.0 m…

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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: 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: Vector A is 5.80 cm long and is 60° above the x-axis in the first quadrant. Vector B is 5.80 cm long…

A: A⇀+B⇀=5.80 cmcos60°i^+5.80 cmsin60°j^+5.80 cmcos-60°i^+5.80 cmsin-60°j^=2.90 cmi^+5.02 cmj^+2.90…

Q: Sin and Cos Law - Component Method with Magnitude and Direction a.) 44 km 40° West of North b.) 26…

A: (a) A = 44 km 40° West of North A→ = 44 (- sin 40 i^ + cos 40j^ )A→ =28.3 i^ + 33.7j^

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

A: In the picture the plane travels from A to B, then B to C and finally C to D AB = 20.0 km BC = 30.0…

Q: Determine the resultant (magnitude and direction) of the following vectors: 80 N, 55 degrees North…

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Q: delivery boy covers his route by traveling 165 m in a direction 30 degrees west of north and then…

A: Boy Cover 165m 30 degree west of north then cover 180m west.

Scalars and Vectors

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