You pilot an airplane with the intent to fly 392 km in a direction 55.0° south of east from the starting airport. Air traffic controlrequires you to first fly due south for 85.0 km. (a) After completingthe 85.0-km flight due south, how far are you from your destination? (b) In what direction should you point your airplane to complete the trip? Give your answer as an angle relative to due east.(c) If your airplane has an average ground speed of 485 km>h, whatestimated time of travel should you give to your passengers?

Q: 7. An airplane heading 275 km/h west while the wind is blowing it 70 km/h north.

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Q: To find the distance across a river, a surveyor chooses points A and B, which are 197 ft apart on…

A: Solution: GIVEN: Angle A=47° and angle B=70°. Step1: Draw the sketch of the given situation as shown…

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: In a two-dimensional plane, vector A is 3 meters due east and vector B is 5 meters, due 36.87…

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Q: You walk 10 meter to the north, 5 meter to the east, and then 5 meter to the south to be with…

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Q: . A car starts from the origin and is driven 1.2 km south and then 3.1 km in a direction 53° north…

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Q: Vector  A has a magnitude of 72 units and  point due west while  Vector  B has the same  magnitude…

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Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 12.0 m and…

A: x-component =12 cos 54°                        =7.05 my-component=12 sin 54°…

Q: Two displacement vectors when added produce a resultant vector of magnitude 50.0 km pointing 60.00…

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Q: Let 0 be the angle that a vector to make with the x - axis and measured counter clockwise from that…

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Q: What is the resultant vector of a vector A 5m going to South and vector B 6 m going to West?

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Q: What is the resultant of vector A=5m West, B=10m 30° South of West and C=15m South using component…

A: A = 5 m West, B = 10 m at 30° South of West C = 15 m South  Write the displacements in the vector…

Q: Use the polygon method to get the resultant of the following displacement: (a) 5.0 km to the east,…

A: Polygon law of vector addition states that if a number of vectors can be represented in magnitude…

Q: A hiker starts at his camp and moves the following distances while exploring his surroundings: 66.0…

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Q: Given four vectors: 25 newtons 50 degrees north of east; 16 newtons 75 degrees south of east; 10…

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Q: The magnitude of a vector " is 24 and is located at a bearing of S60°W . The magnitude of a vector v…

A: Given that:u→=24 unit at S60°Wv→=122 at N45°W

Q: The resultant of three vectors is 90.00 cm 34 degrees North of West. If two of these three vectors…

A: Resultant vector (R→) = 90 cm ( -cos(34o)i^ + sin(34o)j^)= -74.6i^ + 50.32j^ cm Let one of the…

Q: The sum of vectors D, E and F is a resultant with a magnitude of 24.80 cm pointing 21.34o west of…

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Q: The sum of vectors D, E and F is a resultant with a magnitude of 24.80 cm pointing 21.34o west of…

A: According to question we need to find--- (a) the x-component of E, Ex, ? (b) the magnitude and…

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: Consider the vector whose x- and y-components are given to be 3.3710 and 3.9645, respectively.…

A: Given data-                          x component of  vector (A→) = 3.3710                          y…

Q: A person desires to reach a point that is 3.4km from her present location and in a direction that is…

A: Given,d=3.4 kmθ=35°

Q: A person walks 24.0° north of east for 2.40 km. How far due north and how far due east would she…

A: Consider the diagram below, which represents the situation given in the question.

Q: given two vector a and b find vecto 2A - 4B and its magnitude, whre A = ax + 2ay and B = 5ax - 4ay…

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Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 18.0 m and…

A: Given data :  Magnitude of vector = 18.0 m Angle (θ) = 20.0°

Q: add the following vectors and determine the resultant. 6 m/s, 225 degrees and 2 m/s, 90 degrees

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Q: The sum of vectors D, E and F is a resultant with a magnitude of 24.80 cm pointing 21.340 west of…

A: Given value--- sum of vector D,E and F = 24.80 cm , 21.34 degree west of North . vector D = 30 cm ,…

Q: What is the direction of the resultant vector from +x-axis counter clockwise of vectors A = 2.0 m,…

A: Given Data: Vector A length, A=2 m & inclination angle, θA=35° Vector B length, B=5 m &…

Q: A spelunker is surveying a cave. She follows a passage 160 m straight west, then 230 m in a…

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Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 16.0 m and…

A: The x component and y component of the vector is ,

Q: A person walks 13.0° north of east for 3.00 km. How far due north and how far due east would she…

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Q: You found a treasure map! It said, start at the well, go 100 m straight south, then 30 m, 40 degrees…

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Q: What are the polar coordinates of a vector whose component vectors are -6.50 m vertically and +9.60…

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Q: What are the horizontal and vertical components of a vector 15m, 30° south of east

A: Given: The magnitude of the vector is 15 m. The direction of the vector is 30o south of east.

Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 20.0 m and…

A: Given information:Magnitude of the vector (r) = 20.0 mInclination of the vector (θ) = 20.00

Q: What is the resultant displacement when a ship sails 200km due north and then 150km due east?

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Q: A clever adventurer on a treasure hunt reads the following instructions from his map: Walk 347 m…

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Q: Vector A  =  -2.00 i   +  3.00 j  .  Determine the magnitude and direction of vector A .

A: Magnitude A=2.002+3.002=3.6055 unit

Q: An airplane takes off from Masipag runway which has a bearing of N 28° E. After flying for 3 miles,…

A: given that,bearing angle of runaway = N 28° E

Q: A person walks 30.0 north of east for 3.80km. How far due north and how far due east would she have…

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Q: Vector A is 5.80 cm long and is 60° above the x-axis in the first quadrant. Vector B is 5.80 cm long…

A: A⇀+B⇀=5.80 cmcos60°i^+5.80 cmsin60°j^+5.80 cmcos-60°i^+5.80 cmsin-60°j^=2.90 cmi^+5.02 cmj^+2.90…

Q: Starting in Albany, you travel a distance 285 miles in a direction 40.8 degrees north of west. Then,…

A: So the displacement from Albany is  Therefore the displacement from Albany is 288 miles

Q: runaway dog walks 0.64 km due north. He then runs due west to a hot dog stand. If the magnitude of…

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Q: Vector A has a magnitude of 23.0 m and makes of 30o above the positive x axis. Vector B has a…

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Q: A person walks 15.0° north of east for 3.90 km. How far due north and how far due east would she…

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Q: if a is 35.0 meters 47 degrees of south of east and b is 19.5 meters north, what is the magnitude…

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Q: A GPS receiver told you that your home was 15.0 km at a direction 40° north of west but the only…

A: GivenResultant location of home, R=15.0 km ,40° N of WDistance walked in north direction, P=10 km

Q: You found a treasure map! It said, start at the well, go 100 m straight south, then 30 m, 40 degrees…

A: Given, It said, start at the well, go 100 m straight south, then 30 m, 40 degrees North of West,…

Scalars and Vectors

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