A roller coaster moves 200 ft horizontally and then rises 135 ft at an angle of 30.0° above the horizontal. Next, it travels 135 ft at an angle of 40.0° below the horizontal. Use graphical techniques to find the roller coaster’s displacement from its starting point to the end of this movement.

Q: Three displacement vectors of a croquet ball are shown in Figure, where |A| = 20.0 units, |B| = 40.0…

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Q: A man walks 15.9183 m directed 167.673 degrees from the positive x-axis, then he walks 29.546 m…

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Q: Use the component method of vector addition to add the resultant of the following vectors. A: 11 km…

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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: The diagram below shows two vectors, A and B, and their angles relative to the coordinate axes as…

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Q: An airplane starts at Point A and flies 210. km at 311 degrees to Point B. The plane then flies 179…

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Q: A man walked 11 km towards the north, turned east and walked 6 km, then he turned south and walked 3…

A: Given data: -  The distance traveled in the north direction is N = 11 km. The distance traveled in…

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: The magnitude of vector A is 39.0 units and points in the direction 350° counterclockwise from the…

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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: A person starts walking from home and walks: 6 miles East 2 miles Southeast 6 miles South 5 miles…

A: Displacement is the shortest distance between initial position and final position. The path of the…

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: 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: The vector above is given in x- and y-component form as Vx = 14 m/s, Vy = -5 m/s' What is the angle…

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Q: A pedestrian moves 6.00 km east and then 13.0 km north. Find the magnitude and direction of  the…

A: Given Displacements of the pedestrian are d1=6.00 km East and d2=13.0 km west.   We have to find the…

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

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Q: A student on a treasure hunt undergoes three displacements in search of the treasure, as shown…

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Q: In the figure shown below, what is the magnitude and direction of the Vector A? +y 10.0 m 23.0 m R…

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Q: Jerome has been given the following 3 vectors; A, B, & All the vectors are in the x-y plane. The…

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Q: Vector A has a magnitude of 21.0 m and makes an angle of 30° above the positive z axis. Vector B has…

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

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Q: A postal employee drives a delivery truck 1.25 miles north, then 4.44 miles east, then 3.58 miles…

A: SOlution: 1.25 ,iles north 4.44 miles eat 3.58 miles morthwest

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: 52. A vector makes an angle 0 with the horizontal. The horizontal and vertical components of the…

A: The horizontal component of the vector is given as,

Q: A delivery man starts at the post office, drives 35 km north, then 15 km west, then 55 km northeast,…

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

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: Vector A has a magnitude of 10 units and makes an angle of 30 degrees counterclockwise from the…

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Q: Use the graphical method of for adding vectors to find the total displacement of a person who walks…

A: Total displacement of a person using graphical method. Given, A = 25 m along 49° north of east  B =…

Q: A postal employee drives a delivery truck 1.25 miles north, then 4.44 miles east, then 3.58 miles…

A: Consider the scale image:

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: 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: A hiker walks 2.5 miles in a direction 65° West of North, then 3.5 miles in a direction 40° South of…

A: A vector is a physical quantity that has both magnitude and direction. The resultant vector is found…

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

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

A: Above question can be written and represented as  A= 7 m along west = -7i^ B= 20 m along 37o North…

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

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Q: To get from one office to another in a company, a man travels as follows:  Which of the following…

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Q: Vector A has a magnitude of 142 units and points 32.0° north of west. Vector B points 67.0° east of…

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Q: A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast,…

A: Below is graph for given vectors:

Q: For the vectors à and B in the figure shown, use a scale drawing to find the magnitude and direction…

A: Resultant of two vectors can be determined by using parallelogram law of vector.  we place two…

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

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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: 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: The vector above is given in x- and y-component form as Vx = -7 m/s, Vy =4 m/s' What is the angle 0?…

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Q: Vector A has a magnitude of 12.0 units and makes an angle of 30° with the positive x-axis. Vector B…

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Q: A girl delivering newspapers covers her route by traveling 5.00 blocks west, 5.00 blocks north, and…

A: Draw the position diagram of the girl.

Q: 35) Vector a has vertical and horizontal components 3.2 and 1.6 respectively and vector b has…

A: We will calculate the angle of inclination of the vectors with the x-axis and then find the angle…

Q: If Vector A is 50cm, Vector B is 30cm and Vector C is 20cm, then how would a graphical…

A: The vector T is the sum vectors A, B and C

Scalars and Vectors

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