Consider that a woman flies 42km in a direction 60° north of east and then flies 32km in a direction 15° north of east. Find her distance R from the starting point in km, and find the angle θ in °N of E

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

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

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Q: A commuter airplane starts from an airport and takes the route shown in the figure below. The plane…

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Q: A person drives a car west for a distance of 4.00 km and then 2.83 km in a direction 75 degrees…

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Q: For vectors B = -2î - 8j and A = -6î – 4j, calculate the following. (a) A + B (Express your answer…

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Q: You fly 11.5 km in a straight line in still air in the direction 35.0° south of west. Find the…

A: Vector diagram

Q: An ant on a picnic table travels 3.0 x 10' cm eastward, then 25 cm northward, and finally 15 cm…

A: As per guideline we are suppose to do only 1 question from multiple questions.

Q: e the magnitude

A: Given:- Two directions d1→=5 km East  d2→=70 km at θ=60° NE(north east ) Find:-   the resultant of…

Q: Vector A has a magnitude of 300 m, and is 20o above the negative x-axis.  Find the vector's x- and…

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Q: Three short flights takes an airplane to its final destination which is a city 500 km due 70^o south…

A: Given data- An airplane takes three short flight to its final destination which is a city 500 km due…

Q: Ã (A = 44.0) 28.0° 56.0% СС-31.0) В (В - 26.5)

A: The three vectors A , B and C are as shown in the figure. To find : The vector sum of the given…

Q: A sailor in a small sailboat encounters shifting winds. She sails 2.00 km east, next 3.50 km…

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

Q: A commuter airplane starts from an airport and takes the route shown in the figure below. The plane…

A: Given data: Distance = 175 km away Direction =30° north of east second distance =150 km Direction…

Q: Using the standard cartesian coordinate system, which of the following vectors have a POSITIVE…

A: To find which of the given vectors have positive x component

Q: The magnitude if vector A is 8km, and the magnitude of vector B is 6km. Which of the following are…

A: Given,

Q: Vector A has a magnitude of 68 units and points due west, while vector B has the same magnitude and…

A: The triangular law of vector addition states that if two vectors represents the sides of a triangle…

Q: 2. A vector d has a magnitude 2.5 m and points north. What are the magnitudes and directions of the…

A: Hi, as this problem contains multiple sub-parts, hence the first three sub-parts will be solved for…

Q: Find the magnitude and direction of the vector represented by each of the following pairs of…

A: Given data: Ax=3.2 cm; Ay=-5.15 cm Ax=-5.48 m; Ay=-9.60 m Ax=-2.10 km; Ay=6.85 km

Q: magnitude of A

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Q: A sailor in a small sailboat encounters shifting winds. She sails 2.00 km east, next 3.50 km…

A:

Q: Two vectors, of magnitudes 20 mm and 50 mm, are added together. Which one of the following is a…

A: The magnitude of one of the vector = 20 mm The magnitude of other vector = 50 mm

Q: The magnitude of vector  is 8 km, and the magnitude of  is 6 km. Which of the following are possible…

A: The magnitude of a vector can range from the sum of the magnitude of vectors to the difference of…

Q: The magnitude of vector A  is 8 km, and the magnitude of B  is 6 km. Which of the following are…

A: Resultant of two vector R = (A2 + B2 + 2AB Cosθ)1/2

Q: Vector a has a magnitude of 12 units and makes a 60° angle with the +x axis. What is the y component…

A: The y component of vector α is    αy=αsinθ Here α=12 units and θ=60o

Q: ack and Jill ran up the hill at 2.9 m/s. The horizontal component of Jill's velocity vector was 2.5…

A: Given: The velocity of Jack and Jill is 2.9 m/s. The horizontal component of the velocity is 2.5…

Q: Find the x and y components of the vectors. a. 100 N, 30° west of north b. 50 N south C. 10 m to the…

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Q: A plane leaves the airport in Galisteo and flies 170 km at 68.0° east of north; then it changes…

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Q: If C = [10 m, 30°] and D = [25 m, 130°], what is the magnitude of the sum of these two vectors? (C…

A: The sum of vectors C and D is calculated as shown below. C+D=10 mcosθi^+10 msinθj^+25 mcosθi^+25…

Q: Let A→ = (3.0 m, 20 degrees south of east), B→ = (2.0 m, north), C→= (5.0 mm, 70 degrees south of…

A: Given, A→=3.0m, 20° south of eastB→=2.0m, northC→=5.0m, 70° south of westTo find x &y components…

Q: A plane flies 479 km east from city A to city B in 45.0 min and then 950 km south from city B to…

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Q: The figure shows two vectors, A and B, whose magnitudes are A = 7.0 and B = 5.2. (Figure 1) Figure А…

A: Write the provided vectors. Add the vectors.

Q: A sailor in a small sailboat encounters shifting winds. She sails 2.00 km east, then 3.50 km 45°…

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Q: Suppose two vectors A and B of magnitude 3 and 4 units are placed tail to tail with an angle of 60 °…

A: Given data: The magnitude of vector A is A=3. The magnitude of vector B is B=4. The angle between…

Q: Component Vector: Determining the Resultant and Direction of Multiple Vectors A = 50 km300 N of E B…

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Q: A 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: 0, Us What is the resultant magnitude vectors if: U1 = 39 meters at 45 degrees U2 = 56 meters at 67…

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Q: vectors. Give the resultant in terms of (a) components, (b) magnitude and angle with the +x axis.…

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Q: A vector has a magnitude of 12. When its tail is at the origin it lies between the positive x axis…

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Q: If a vector A has components Ax = -4 and Ay = -3, then A lies in the a. 4th quadrant b. 3rd quadrant…

A: As per guidelines I am solving only one question. Given: X component of vector = -4 Y component of…

Q: Direction: Draw the following vectors using your ruler and protractor. (a) 40 newtons SE (b) 15 m/s2…

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Q: Vector A points west and vector B points north. The direction of C given by C = B – A is which of…

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Q: ulate the y-component of the acceleration vector a1, which has a magnitude of 26 m/s2 and has an…

A: The rate of change of velocity is called acceleration.  It is a vector quantity.

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: D (10.0 m) 30° 53°/ 25° C(12.0 m) A (8.00 m) B (15.0 m)

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Q: Three vectors, of magnitudes 10 mm, 15 mm and 50 mm, are added together. Which one of the following…

A: When two vectors A and B of magnitude a and b are added then the magnitude of the resultant vector…

Q: You drive a car 610 m to the east, then 400 m to the north. What is your magnitude of displacement?

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Q: Calculate (a) the x-component and (b) the y-component of the vector with magnitude 24.0 m and…

A: Given data:  Magnitude of a vector (A) = 24.0 m Direction (θ) = 56.0° Required: The x-component and…

Q: A commuter airplane starts from an airport and takes the route shown in Figure P3. 19. The plane…

A: The figure below show the location of the cities,

Projectile Motion