A plane is heading due North at a velocity of 150 m/s, while flying through a crosswind blowing due East at 20 m/s. What is the magnitude and direction of the plane's velocity vector with respect to the ground? (Reckon the angle N of E).

Q: The resultant of three vectors is 90.00 cm 34° N of W. If two of these three vectors are 17.89 cm…

A: Given, Resultant of three vectors, R = 90.00 cm at 34° N of W two vectors,  A→ = 17.89 cm 27° W of…

Q: Given 4 vectors with magnitude of 200 for V1, 200 for V2, and 150 for V3 and 100 for V4. V1 has an…

A: The horizontal component of vector V1 is given as, The vertical component of vector V1 is given as,…

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: The acceleration of a particle moving only on a horizontal xy plane is given by d = 6tî + 7tj, where…

A: The given values are, a→=6ti^+7tj^ m/s2r→=15.0i^+35.0j^ mv→=6.40i^+3.30j^ m/st=5.60 s

Q: A ball is launched with an initial velocity of 44.1 meters per second, at an angle of 34.4" above…

A: Given  Initial velocity is 44.1 m/s. Direction is 34.4° from horizontal. We can calculate the…

Q: What is the resultant of vector A=5m West and vector B=15m 60° North of West?

A: Draw the vector diagram as:

Q: Consider the vector v→=0.5t8ı^−13t2ȷ^. Using this vector, evaluate the derivative of the magnitude…

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Q: Calculate the magnitude and direction of the resultant of the two vectors a) 50 km E and b) 70 km…

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

A: Required answer of problem(2)

Q: A stone is catapulted at timet 0, with an initial velocity of magnitude 20.6 m/s and at an angle of…

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Q: Erik and Manuel drive at a compass heading of 270 west of south for 18 km to Trece Martires, then…

A: Resultant of two or more than two vector can be determined by resolving the vectors into its…

Q: What is the resultant of vector A=5m East and 10m 30° South of West?

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Q: Express the vector F= 10.00 m/s, 35.00 degree North of East to component form, while converting to…

A: Given  F= 10.00 m/sec  35.00 degree north of east  So  F--> =??

Q: If the +x- and +y-axes point to East and North respectively, what is A = 500. N 65.0° West of North…

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Q: A daredevil drove his motorcycle up an incline at 30 degree angle with the horizontal and got air…

A: Write a given values of this question. θ=30∘h=11mv=20m/s Acceleration in x- direction is zero.…

Q: If a poodle is roaming in the direction N 38 degrees E at a speed of 2 mph . What is the poodle's…

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Q: The vector A-B is

A: Correct answer is 4th option    9.53i +0.5j Method involves resolution of vectors in their…

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

A: Given data The length of the vector A is lA = 2.80 cm. The angle made by the vector A with 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: You are riding a sailboat in the open sea. Because of the winds in the area, you sail 2.00 km east,…

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Q: You kick a ball with an intial velocity whose magnitude is 38.9 m/s and whose direction is 8°. How…

A: Given data:  Initial velocity (v0) = 38.9 m/s Angle (θ) = 8° Required: Horizontal Range (R)

Q: what is the resultant magnitude and directions? Given the vectors A= 6i + 9j, B = -9i + 9j, and C=…

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Q: A passenger walks from one side of a ferry to the other as it approaches a dock. If the passenger's…

A: vpf→ = passenger's velocity relative to the ferryvpw→ = passenger's velocity relative to the…

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: A scout navigates an open terrain. He travels 50 m to the east, then 120 m to the north, then 30 m…

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Q: What are the x- and y-components of the vector which has a magnitude 4.5 and points 150 west of…

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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: What is the resultant of vector A=5m East and B=10m 30° South of East?

A: Analyze the diagram of the system.

Q: If vectors A ⃗ and B ⃗ are orthogonal, what is the component of B ⃗ along the direction of A ⃗ ?…

A: It is given that A and B are two orthogonal vectors.

Q: .A pilot maintains a heading due west with an air speed of 240 km/h. After flying for 30 min, finds…

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Q: What is the resultant of vectors A=5m South and B=15m 60° South of West using the polygon method?

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Q: How far did the boat travel from the point where the distress call was made to the point where the…

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Q: If the velocity vector of a polar bear is u ⃗ = (−18.0i ^ − 13.0j ^ )km/h , how fast and in what…

A: The given velocity vector is of the form

Q: Which combination of vectors A→ and B→ points straight right ?

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Q: What is the resultant of vector A=5m South and vector B=15m 60° South of West?

A: Given that, Vector A = 5 m (South) Vector B = 15 m 60° South of West We need to find the resultant…

Q: Which of the following displacement vectors has an x component of -15.0 km and a y component of…

A: R=-152+152+0

Q: The resultant of two vectors is 20 units long and makes angles of 20o and 50o with the two vectors,…

A: Given, Length of resultant,R=20 units Angle of resultant with vectors,θ1=20°,θ2=50°

Q: A student drives 10 km to the north and then 20 km 30 degrees S of E. By using the component method,…

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Q: If a car travels 259 m east and then 431 m to the north, with what angle does the final displacement…

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

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: Suppose a projectile is fired from a cannon with velocity vo and angle of elevation 0. The…

A: The given data:   The initial velocity v0 = 160 ft/s The distance of the target R0 = 519 ft

Q: Starting at the origin, a person walks 350 meters in a direction 30.0° South of 20 West, then 570…

A: d1→ = 350 m ×( -cos30oi^ - sin30oj^)d1→ = -303.1i^ - 175j^ m d2→ = 570 m ×( -sin35oi^ + cos35oj^)d2→…

Q: Jojo is riding a boat to travel across a river whose current has velocity of 1.20 m/s westward. If…

A: To determine the angle, sinθ=vwwvB

Q: If A is 35.0 meters 47° S of E and B is 19.5 meters north, what is the magnitude and direction of…

A: Given:  A = 35 m due 47 degree S of E B  = 19.5 m due north

Projectile Motion