While exploring a cave, a spelunker starts at the entrance and moves the following distances in a horizontal plane. She goes 75.0 m north, 250 m east, 125 m at an angle 30 north of east, and 150 m south. Find her resultant displacement from the cave entrance.

Q: Problem 2: A pilot flies 30 km in a direction 60° north of east, then flies 20 km in a direction 15°…

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Q: A vector A has components A, = -3.50 m and A, 6.50 m. Find the magnitude (in m) and the direction…

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Q: Suppose you walk 11.5 m in a direction exactly 17° south of west then you walk 24 m in a direction…

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Q: While exploring a cave, a speleologist starts at the entrance and moves the following distances in a…

A: A speleologist start at the entrance and moves 75.0 m north, 290.0 m east, 125.0 m at the an angle…

Q: A slelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a…

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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: A spelunker is surveying a cave. She follows a passage that takes her a distance 190 m straight…

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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: 2. Find the dot product of two vectors A=4i+3j and B =5/-2j.

A: Given,A=4i+3jB=5i-2j

Q: A particle undergoes the following displacements: 3.50 m south, 8.25 m 45 degrees NE, 5.75m 34…

A: first leg of displacement (d1) = 3.50 m due south second leg of displacement (d2) = 8.25 m @45o…

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Q: A person walks 15.0° north of east for 3.60 km. How far due north and how far due east would she…

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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: Instructions for finding buried treasure include the following: Go 71.0 paces at 256 degrees, turn…

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Q: Vector A is 2.8 meters and is 60 degrees above the x axis in the first quadrant. Vector B is 1.9…

A: Given that A is 2.8 meters and is 60 degrees above the x axis in the first quadrant. Vector B is 1.9…

Q: following problem all angles are measured counter-clockwise from the positive x-axis. The vector A…

A: Given  A ,B and C vectors  required magnitude and direction of vector D=A-B-C

Q: You are on a treasure hunt and your map says "Walk due west for 23.1 paces, then walk 40.0° north of…

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Q: A geologist is surveying a cave. She follows a path 170 m straight West, then 250 m in the direction…

A: The vectors are not added directly or can say algebrically.  They are being added by using…

Q: Suppose you walk 11.5 m in a direction exactly 17° south of west then you walk 24 m in a direction…

A: To find out how far you are from your starting point, you can use vector addition to determine the…

Q: Mariana finds a cave to explore. Starting at the cave entrance, Mariana first follows a passage 75.0…

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Q: A frog makes four jumps in a row. The displacement vectors for the four jumps are: (1) 28.0 cm, due…

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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 walk 37 m to the north, then turn 61° to your right and walk another 45 m. Determine the…

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Q: An old lady, to maintain her health during morning walk, covers three displacements. The first has a…

A: Given:-  The three displacements of the old lady are given as  d1= 200 m  and make an angle of 110o…

Q: Vector G is 40.3 m long in a -35.0° direction. Vector H is 63.3 m long in a 270° direction. Find the…

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Q: A person walks 15.0° north of east for 3.60 km. How far due north and how far due east would she…

A: Given that,Magnitude of displacement : d = 3.6 (km)Direction of displacement : θ = 15° (North of…

Q: A traveler is exploring an unfamiliar cave in the Northern Luzon. She follows a passage 180 m…

A: Vectors and scalars are treated differently. We need to take care of the directions respectively.…

Q: Suppose you walk 25.5m in a direction exactly 36° west of north and then walk 15 m in a direction…

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Q: A spelunker is surveying a cave. She follows a passage 180 m straight west, and then 210 m in a…

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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: You walk 200 feet west and 100 feet north to bury your treasure chest. But when you return to dig it…

A: The angle with respect to north is, ϕ=tan-1xy=tan-1200 ft100 ft=63.4o

Q: While exploring a cave, a spelunker starts at the entrance and moves the following distances. She…

A: Given, While exploring a cave, She goes  75 m North, 250 m east, 125 m at an angle 30° north of…

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: A figure skater glides along a circular path of radius 3.93 m. (a) If she coasts around one half of…

A: Displacement is define as the separation between the initial and final point of the journey this is…

Q: A car is driven east for a distance of 50 km, then north for 30 km, and then in a direction 30° east…

A: We label the displacement vectors A,B,and C ( and  denote the result of their vector sum as r. we…

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

Scalars and Vectors

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