A strong wind blows due east with a constant speed of 50 mph. An airplane travels from one city to another which is due north, moving with a speed of 143 mph relative to the air. What is the speed of the airplane, in mph, relative to the ground? [Hint: Draw a diagram for the vector addition.]

Q: A runaway cat walks 0.75 km due north. It runs due west to a hotdog stand. If the magnitude of the…

A: Correct answer is option (D) i.e. 0.66 km

Q: If the +x- and +y-axes point to East and North respectively, what are the components of vector A=…

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Q: A cab driver heads south with a steady speed of v, = 24.0 m/s for t, = 3.00 min, then makes a right…

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

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Q: Two vectors, of magnitudes 20 and 30, are added. Which one of the following is a possible answer for…

A: The magnitude given are 20 and 30

Q: What is the direction of the resultant of vector A moving 21 km/hr, north and vector B heading 12…

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Q: A person walks 23.0° north of east for 3.40 km. How far due north and how far due east would she…

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Q: Assuming that up is north, what is the displacement between points F and A? Remember that…

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Q: 2. A hiker walking 10 km west then 25 km south

A: Required answer of problem(2)

Q: Two vectors, of magnitude 30 and 60 respectively, are added. Which one of the following choices is a…

A: The magnitude of the 1st vector is R1 = 60 units The magnitude of 2nd vector is R2 = 30 units

Q: What is the x-component of a vector with a magnitude of 135 m, 42° South of east? O 54.89 m, North…

A: x component of a vector  Ax   = A Cosθ  where  θ is angle from x axis counterclockwise.

Q: Two vectors, of magnitudes 10 and 30, are added. Which one of the following is a possible answer for…

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Q: A boat moves at a rate of 2.5 km/hr in still water, what will be its resultant velocity if it heads…

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Q: Given two vectors a = 5i + 4j and b = 6i – 3j, find the magnitude and direction with respect to the…

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Q: The given vector represents a hot air balloon that experiences a 0.25 m/s? acceleration at an angle…

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Q: 6. Add the following two vectors and write the results in unit vector notation, and also as a…

A: Given vectors C→ = (-3.75 m)i^ + (-9.48 m)j^D→ = (1.92 m)i^ + (6.32 m)j^Let the resultant vector of…

Q: A snowmobile is originally at the point with position vector 28.9 m at 95.0° counterclockwise from…

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Q: A sailboat under auxilary power is proceeding in the direction N 25° W at 6 (25° West of North)…

A: direction of sail boat = 25 degree of west of north  it means it make 25 degree from vertical of the…

Q: What is the direction of the resultant of vector A moving 21 km/hr, north and vector B heading 12…

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Q: A cheetah runs 1.50 km due east of the tree. He then runs 2.0 km due north. What is the magnitude…

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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: If the magnitude of a velocity vector is 7.0 m/s and the x-component is 3.0 m/s, what is the…

A: Given information:Magnitude of velocity vector (|V|) = 7 m/sMagnitude of x-component (|Vx|) = 3…

Q: Find the magnitude of the x- and y- components of the given vectors. a. A= 29.8 m, 86.50 NW b. B= 9…

A: a) Vector A = 29.8 m @86.50 NW

Q: What is the resultant of vector A=2i +2j, and vector B=li -2j Select one: a. V26 b. 2 С. 3.5 d. V5…

A: Vector A=2i→+2j → Vector B=1i→-2j→

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: The velocity vector V1 has a magnitude of 3.0 m/s and is directed along the +x-axis. The velocity…

A: The magnitude of V3 can be 6 m/s, this statement is FALSE.The magnitude of V3 can be 3 m/s, this…

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: Two vectors, of magnitudes 20 and 30, are added. Which one of the following is a possible answer for…

A: If  a and b  are two vectors then magnitude of a+b is, |a+b| = √(a2+b2+2abcosθ)  We know, maximum…

Q: Two vectors, of magnitudes 10 and 30, are added. Which one of the following is a possible answer for…

A: Two vectors, of magnitudes 10 and 30, are added. Which one of the following is a possible answer for…

Q: The magnitude of vector A=2i +j +2k is?

A: Given We have to find the magnitude of the given vector

Q: What is the x-component of a vector with a magnitude of 73 cm, 41° South of east? O 54.89 m, North O…

A: Given value--- Vector A = 73 cm , 41 degree South of east. We have to find --- x component of A.

Q: The given vector represents a hot air balloon that experiences a 0.25 m/s2 acceleration at an angle…

A:

Q: Add the following vectors using Law of Sine and C A= 30.00 km, 50.00" North of East B= 40.00 km,…

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Q: What is the magnitude of the resultant of vector A moving 21 km/hr, north and vector B heading 12…

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Q: A snowmobile is originally at the point with position vector 30.5 m at 95.0° counterclockwise from…

A: Write down the given values using suitable variables. Here r signifies initial position vector, u…

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

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Q: Which of the following will provide the magnitude of resultant vectors? O A-VA+A

A: Consider the vector A=Axi+Ayj

Q: You are adding vectors of length 20 and 40 units. Which ofthe following choices is a possible…

A: The two vectors have length 20 and 40 units. On adding both the vectors, the resultant magnitude…

Q: What is the resultant of vector A=2i +2j, and vector B=li -2j Select one: a. 3 b. V5 C. 3.5 d. 2 e.…

A: Given data: Vector A=2i→+2j → Vector B=1i→-2j→

Q: In the Mississippi river banks in Louisiana, a tug boat leaves a harbor and sails 5.0 km in the…

A:

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

A: The range of vector is given by  R =( A-B ) to( A + B) Here, R = Range of vector, A = magnitude of…

Q: Add the following vectors using adding by components method: Ā = 5.30 m, 55.0°| B = 4.53 m, 40.0°…

A: For Vector A : 5.3m ;55o For vector B : 4.53 m ; 40o North of west For vector C: 6.03 m South East

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: (Vectors) Given two vectors a = 5i + 4j and b = 6i – 3j, find the magnitude and direction with…

A: a→ = 5i^ + 4j^ b→ = 6i^ - 3j^

Scalars and Vectors

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