Given the vector techniques you worked on in the lab, answer the follow question: suppose you first walk 12 m in a direction 20° west of north, then 20 m in a direction 40° south of west, then 14 m in a direction 30° east of north, and finally 19 m in a direction 40° east of south.  How far are you (as the crow flies) from your starting point, and what is the compass direction (west of south) of a line connecting your starting point to your final position

Q: A hiker walks along the city streets 15 km north, then 7 km east.  What is the direction of the…

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Q: Solve the following problem using analytical techniques: Suppose you walk 17.5 m straight west and…

A: Given: A = displacement to West = 17.5 m B = displacement to North = 25.5 m R = distance between…

Q: A clownfish lives in a certain sea anemone. Its position with respect to that sea anemone is 10 cm…

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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 boat radioed a distress call to a Coast Guard station. At the time of the call, a vector A from…

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Q: You found a treasure map and it said: Start at the well, go 100 m straight south, then 30 m, 40°…

A: Refer to the figure :

Q: Two position vectors lie in a plane. The first, vector rA, points at an angle of 20° below the…

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Q: Brenda goes out for a nice, leisurely walk. She begins by travelling 19 km due east, and then…

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Q: A hiker walks along the city streets 4.0 km north, then 3.0 km west. What is the magnitude of the…

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Q: You are on a treasure hunt and your map says "Walk due west for 86.1 paces, then walk 50.0 ° north…

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Q: Steve is driving in his car to take care of some lands. The first land has him driving to a location…

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Q: Instructions for finding a buried treasure include the following: Go 73.0 paces at 235°, turn to…

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Q: A delivery man starts at the post office, drives 35 km north, then 25 km west, then 50 km northeast,…

A: First leg of displacement of delivery man (d1) = 35 Km due north Second leg of displacement of…

Q: On a winter morning a mailman drives 3.50 due east of the post office to deliver an express package…

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Q: A duck swims 4 m northeast, 3 m 60 degrees, and 5 m at 20 degrees north of west. How far is the…

A: Displacement vector = 4(cos45°i + Sin45°j) + 3(-cos60°i + Sin60°j) + 5(-Cos20°i + Sin20°j)  = (-…

Q: A radar station locates a sinking ship at range 16.6 km and bearing 136° clockwise from north. From…

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Q: A dog searching for a bone walks 2.10 m south, then 8.20 m at an angle 30.0° north of east, and…

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

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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: Two cars are originally at the origin of a coordinate system. Car A drives directly East for 4…

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Q: wonderful hospital nurse on her first day of the job is checking on a variety of patients. Consider…

A: first leg of displacement = 100 m in a direction 37 degree north of east second leg of displacement…

Q: A small plane flies a distance d1 = 32 km in a direction θ1 = 64o north of east and then flies d2 =…

A: Given: Distance d1 =32 km Distance d2 =23 km Angles = 64 degrees and 18 degrees

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

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Q: One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which…

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Q: Solve the following problem using analytical techniques: Suppose you walk 15.5 m straight west and…

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Q: Suppose you first walk 9.5 m in a direction 20.0° west of north and then 17.5 m in a direction 40.0°…

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Q: Suppose you walk 18.0 m straight west and then 25.0 m straight north. (If you represent the two legs…

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Q: A woman sailing a boat is following directions to a dock. First she sails 27.5m 66 degrees NE. Then…

A: The woman sails in the north of east direction for a distance of r1 = 27.5 m at 66° And then in the…

Q: You go on a hike with some friends. First, you travel 1.7 miles in a direction due west. Then, you…

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Q: In the next sets, you are given the magnitude and one component. There is an ambiguity in…

A: 6) A) Ay = 42|A| = 72

Q: A sailor in a small sailboat encounters shifting winds. She sails 2.00 km east, next 3.50 km…

A: According to question, she moves 2km east then 3.5 km in 45o south of east  and after some distance…

Q: An engineer designs a roller coaster so that a car travels horizontally for 152 ft, then climbs 127…

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Q: Suppose you walk 18.0 m straight west and then 25.0 m straight north. (If you represent the two legs…

A: Displacement vectors as A→=18 m towards west. B→=25 m towards north. The resultant vector is…

Q: Vector V1 is 5.0 units long and points along the negative x-axis. Vector V2 is 10.0 units long and…

A: V1 = 5 units (Along negative x axis) V2 = 10 units @30o above the x axis

Q: component methods of vector addition, how far from the well and in what direction is the hidden…

A: Analytical (Component) Method assuming +x is in E direction and +y is in N direction.

Q: *65. ssm Vector A has a magnitude of 6.00 units and points due east. Vector B points due north. (a)…

A: Let x axis be east direction, and y axis be the north direction. Consider the figure

Q: In what direction, as measured from the position of your car, is your final position? (Give your…

A: Given data: The distance in the southeast direction is: A = 25 km The distance in the northeast…

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: In the next sets, you are given the magnitude and one component. There is an ambiguity in…

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

Q: On a fine Sunday afternoon, you went malling at the Mall of Asia. Starting from the parking lot, you…

A: according to Sine law of triangle  SinAa=SinBb=SinCc

Q: n the sum A + B = C, vector A has a magnitude of 12.0 m and is angled 40.0 ◦ counterclockwise from…

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Q: On the map, let the +x-axis point east and the +y-axis north. An airplane flies at 880 km/h…

A: Draw the diagram of the velocity components with proper labeling.

Scalars and Vectors

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