Need answered Instructions for finding a buried treasure include the following: Go 75.0 paces at 215°, turn to 115° and walk 140 paces, then travel 100 paces at 160°. The angles are measured counterclockwise from an axis pointing to the east, the +x direction. Determine the resultant displacement from the starting point.

Q: A spelunker is surveying a cave. He follows a passage that goes 210m straight West, then 180m in a…

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Q: 1. A highway is to be built between two towns, one of which lies 35.0 km south and 72.0 km west of…

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Q: A ship sets out to sail to a point 133 km due north. An unexpected storm blows the ship to a point…

A: The sketch of the given situation is shown below.

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 boat sails 12 miles in northwest direction, after which it changes the direction and sails 66…

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Q: you are facing a mountain that has a vertical height of 31.1 m at the peak and a horizontal distance…

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Q: Answer the problem with a complete step-by-step process or solution.  A ship sails 50 nautical…

A: Speed is given by rate of change of distance. In right angle triangle hypotenuse is square root of…

Q: After adding vectors, you find that the x component of the resultant is -15 and the y comp is 10.…

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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: Oasis B is 8.0 km due east of oasis A. Starting from oasis A, a camel walks 23 km in a direction…

A: As per the question:

Q: Consider the three displacement vectors  = (−2î − 3ĵ) m,  = (4î − 5ĵ) m, and = (−6î + 5ĵ) m.  Use…

A: Given data: A= (−2î − 3ĵ) m B= (4î − 5ĵ) m C= (−6î + 5ĵ) m Need to determine the magnitude and…

Q: A hiker lost in the woods walks in specific angles in order to find the way out of the woods. Assume…

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Q: Using your graph paper, resolve the following vectors into their components: A = 10N East B = 15N 10…

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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: The treasure map gives the following directions to the buried treasure: “Start at the old oak tree,…

A: Given: The distance along north is dN = 502 m The distance along the east is dE = 109 m The angle of…

Q: 1. Vector A is 3.50cm long and is 60° above the x-axis in the first quadrant. Vector B is 2.50cm…

A: A = 3.5 cm at 60° above X axis  B = 2.5 cm at 60° below X axis Write the vectors in the component…

Q: Three vectors are shown in the figure below, along with an x-y coordinate system. у (m) 2- -x (m) 5…

A: From the figure adding vector A+B+C = R a) now the magnitude of the…

Q: Three vectors are shown in the figure below, along with an x-y coordinate system. y (m) 34 2- A -5…

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Q: Vector A points to the right and vector B points to the left with a magnitude equal to 2A.  What…

A: Magnitude of vector A is A (to the left) Magnitude of vector B is 2A (to the right)

Q: Algebraic Method For the given vectors: A = 50 km due east, B = 20 km due west, C = 30 km due west,…

A: Given Vector A = 50 km due East B = 20 km due West C = 30 km due West D = 25 km due East E = 60 km…

Q: Your dog is running around the grass in your back yard. He undergoes successive displacements 3.42 m…

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Q: You drive a car 1200 m due south, then 1500 m at 300 west of south, and finally 1050 m at 500 north…

A: step 1 : 1200 m due south  step 2 : 1500 m at 300 west of south  Step 3 : 1050 m at 500 north of…

Q: Solve the following problem using analytical techniques: Suppose you walk 18.5 m straight west and…

A: Magnitude of vector A in west direction is taken as 18.5 m and magnitude of vector B in north…

Q: A skater glides along a circular path of radius 4.90 m. (a) If he coasts around one fourth of the…

A: radius of the circular path (r) = 4.90 m

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: A skater glides along a circular path of radius 5.20 m. (a) If he coasts around one half of the…

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Q: Oasis B is 8.0 km due east of oasis A. Starting from oasis A, a camel walks 20 km in a direction…

A: Given, Position of oasis B from oasis A, d=8 i km, i represents east Displacements of camel, d1=20…

Q: What is the principal angle (angle at standard position) of a vector located at 32° South of East?

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Q: A woman walks 250 m in the direction 30° east of north, then 175 m directly east. Find (a) the…

A: Given Woman walks 250 m in the direction 30° East of North then 175 m directly east .

Q: Vector A (in the first quadrant) is 20m long and it makes an angle of 30° with the x-axis. Vector B…

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Q: VI is a vector 30m in magnitude and points at an angle of 23.4° above the negative x axis. V2 is a…

A: According to question we need to find magnitude and direction of resultant vector.

Q: Vector D = A+ B - C, where Ax=22, Ay= -12, Bx =5, By=-9, and C has a magnitude of 35 and points at…

A: Calculate the components of C as shown below:

Q: Borsalino wants to buy some ice cream in the nearest convenience store. He has to walk 5.3 meters,…

A: Given information: The magnitude of the vector A is, A=5.3 m The direction of the vector A is,…

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: John went to his girlfriend to propose and walk 30m straight west and then 25m straight north. How…

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Q: a cave, a spelunker starts at the entrance and moves the following distances in a hori- zontal…

A: We know that here we have given that a spelunker starts at the entrance and moves a distances in a…

Q: A commuter airplane takes the route shown in figure. First, it flies from origin of the coordinate…

A: The vector diagram of routes of the airplane is given below

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

A: Given that: d1=180 m, westd2=210 m, 45° east of southd3=280 m, 30° east of north

Q: Oasis B is 7.0 km due east of oasis A. Starting from oasis A, a camel walks 24 km in a direction…

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Scalars and Vectors

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