A roller-coaster car moves 200 ft horizontally and then rises 135 ft at an angle of 30.0° above the horizontal. It next travels 135 ft at an angle of 40.08 downward. What is its displacement from its starting point? Use graphical techniques.

Q: If you draw a vector on a sheet of paper, how many components are required to describe it? How many…

A: If we draw a vector on a sheet of paper. We know any plane sheet of paper are the two dimensional…

Q: Write the correct vector notation for the vector with a magnitude of 900 N? You do not need to…

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Q: Solve the following vector problems using head to tail method and component method. Use graphing…

A: In the component method, each of the components along the x- and y-axis are obtained and then…

Q: On a test​ flight, during the landing of the space​ shuttle, the ship was 386 ft above the end of…

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Q: Vector A has magnitude 11 m and points 30° north of east. Vector B has magnitude 6 m and points 30°…

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Q: A trapper walks a 5.0-km straight-line distance from her cabin to the lake, as shown in the…

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Q: A man leaves his front door, walks 1000 ft east, 2000 ft north, and then takes a penny from his…

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Q: Vector A, vector B, and vector C are drawn to scale in the figure below. The vector A is 5.3 meters…

A: Given: Magnitude of vector A = 5.3 m. Magnitude of vector B = 4.0 m. Magnitude of vector C = 2.8 m.…

Q: Use a scale drawing and find the x and y components of the following vectors. In each case the…

A: Given, Magnitude of vectors, d1=9 m,d2=15 km,d3=4.6 cm Angle of vectors with x-axis,…

Q: The First Friday Parade route runs 1,032 m East along the Avenue of Champions then turns North 1,986…

A: Consider the figure.

Q: Problem 1.42 Vector A has components A, = 1.40 cm, A, = 2.35 cm; vector B has components B, = 4.20…

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Q: What is the y component, Ay of the vector A shown in the graph below? The magnitude of the vector is…

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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: A man walks 22.4789 m directed 61.0652 degrees from the positive x-axis, then he walks 17.113 m…

A: d1 = 22.4789 m @61.0652o counterclockwise from +x axis d2 = 17.113 m @334.191o counterclockwise from…

Q: What is the unit-vector notation for each of the following vectors, all with magnitudes of 38.0? (a)…

A: Given: The magnitudes of all vectors are 38.0.

Q: 1. Vector A→, having magnitude 2.5m, pointing 37. south of east. 2. Vector B> having magnitude 3.5m,…

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Q: 1.33 • Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is…

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

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Q: A trapper walks a 5.0-km straight-line distance from her cabin to the lake, as shown in the…

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Q: Vector addition: (use scale 1 cm = 5 units, for example 15 m/s = 3 cm) Draw coordinate plane too (x…

A: The vector diagram of given problem can be drawn as,

Q: Vector V⃗ 1V→1 is 6.4 units long and points along the negative x axis. Vector V⃗ 2V→2 is 9.0 units…

A: Determine the X-component of vector 2.

Q: A person walks 29.0° north of east for 2.40 km. How far due north and how far due east would she…

A: Displacement of person = 2.40 km in a direction 29o north of east

Q: A boy walk 140 m due north, 85 m due east, 35 m due southeast, 38 m due west and then  19 m due…

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Q: A figure skater glides along a circular path of radius 2.90 m. If she coasts around one half of the…

A: Given,

Q: Vector A has a magnitude of 6 units, vector B has a magnitude of 7 units, A dot B has a value of 14.…

A: Given data The magnitude of vector A is given as A=6 units. The magnitude of the vector B is given…

Q: At take off, a plane travels 25km at an angle of 35Degrees from the ground, then changes direction…

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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: The two vectors a and b in the figure have equal magnitude of 31 m and the angles are θ1 = 27° and…

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Q: Anthony joined a challenge game in his school. To get to the clue, he has to walk 30 meters 30°…

A: Resultant of vectors can be determined by resolving them into its components.

Q: Vector A has components Ax = -15.0 and A, -4.01. What is the magnitude of this vector? Find the…

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Q: 1A = 6 cm B = 5 cm 60 30° 30° C=4 cm D= 2 cm In the figure above (a) Find the x and y components of…

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Q: A miner in the underground tunnel walks 59 m due East, 115 m due South and 83 m due West. What was…

A: In the given question, given that a miner walks 59m due east, 115m due south and 83m due west in the…

Q: A man walks 12 0715 m directed 162 6268 degrees from the positive x-axis, then he walks 20 1120 m…

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Q: Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is 1.90 cm…

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Q: a vector A (-4i-2j)and  a vector B (-2i-4j) the vector A makes an angle with the positive x axis…

A: The angle made by point A (x, y)  with positive x –axis , when it lies in different quadrant of x-y…

Q: In a 2-dimensional Cartesian system, the x-component of a vector is known, and the angle between…

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Q: An airplane flies with a displacement vector ř. If the x-component of the plane is 132 km West and…

A: Draw the free-body diagram of the system. Calculate the resultant vector.

Q: A civil-engineering student made the following displacements at home: (A) 2.0 m at 40 degrees and…

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Q: Rebecca walks 466 cubits due north, then 360 cubits due west and finally 791 cubits due south. How…

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Q: Vector A has a magnitude of 36 units and points in the positive y direction. When vector B is added…

A: vector B A→+B→=R→B→=R→-A→=28-j^-36j^=-64j

Q: 6. Consider two vectors pointing at different directions. The first vector has a length of 5.2 cm…

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Q: Using a scale drawing to find the magnitude and direction of: a) the vector sum A + B; b) the…

A: a) The vector sum is represented in the figure given below:

Q: An airplane flies with a displacement vector R. If the x-component of the plane is 152 km west and…

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Q: In the Vector Addition Lab, Anna starts at the classroom door and walks: 2.0 meters, West 12.0…

A: The displacements in either of the directions is given by 2 m in West 12 m in North 31 m in West 8 m…

Q: Vector A: Magnitude: .6769 N, angle: 0 degrees Vector B: Magnitude: 1.265 N, angle: 140…

A: Vector A = 0.6769 N @ 0 degree Vector B = 1.265 N @140 degreeVector C = 0.7358 N @235 degree Vector…

Q: Figure shows four displacement vectors with magnitude and direction. Start 100 m → X A B 300 m End…

A: (a) Calculation: Write the unit vector notation of vector A. A→=100i^ Write the unit vector notation…

Q: find the resultant, magnitude, degree, and direction of the vector by graphing it using the polygon…

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Q: A man walks 37.5176 m directed 265.0102 degrees from the positive x-axis, then he walks 44.6018 m…

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