A straight river flows east at a speed of 9 mi/h. A boater starts at the south shore of the river and heads in a direction 60° from the shore. The motorboat has a speed of 20 mi/h relative to the water. (Assume that the i vector points east, and the j vector points north.) Express the velocity of the river as a vector in component form. Express the velocity of the motorboat relative to the water as a vector in component form. Find the true velocity of the motorboat. Find the true speed of the motorboat

Q: A student bikes to school by traveling first dN = 1.00 miles north, then dw = 0.400 miles west, and…

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Q: Let v = -5i+5j be a vector. Find a unit vector that points in the same direction as v and give…

A: The objective of the question is to find a unit vector that points in the same direction as the…

Q: Let A= (3.0 m, 200 south of east), B = (2.0 m, north), and C= (5.0 m, 700 south of west). Draw and…

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Q: A police officer is driving due north at a constant speed of 28 m/s relative to the ground when she…

A: As per the question, Given data: Velocity of car with respect to ground = 28 m/s Velocity of truck…

Q: A straight river flows east at a speed of 12 mi/h. A boater starts at the south shore of the river…

A: Since, you have uploaded a question with multiple sub-parts and the first sub-part is solved, we…

Q: Mariana finds a cave to explore. Starting at the cave entrance, Mariana first follows a passage 75.0…

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Q: A straight river flows east at a speed of 8 mi/h. A boater starts at the south shore of the river…

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Q: Steve is driving in his car to take care of some lands. The first land has him driving to a location…

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Q: A delivery man starts at the post office, drives 35 km north, then 25 km west, then 50 km northeast,…

A: First leg of displacement of delivery man (d1) = 35 Km due north Second leg of displacement of…

Q: A migrating salmon heads in the direction N 45° E, swimming at 5 mi/h relative to the water. The…

A: Given Data -----  migrating salmon heads in the direction N 45° E. migrating salmon swimming at 5…

Q: A U.S. Navy destoyer on patrol travels the following displacements starting from coordinate origin.…

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Q: y (m) 6.0 4.0 2.0 A →x(m) 2.0 4.0 6.0 8.0 10 Find the z and y components of its position vector at…

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Q: A small plane flies a distance d1 = 46 km in a direction θ1 = 62o north of east and then flies d2 =…

A: Depict the path followed by the small plane using the given co-ordinates,

Q: Two cars are originally at the origin of a coordinate system. Car A drives directly East for 4…

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Q: The velocity vector of the boat has two components: v 1 is the velocity of the water, and v2 is the…

A: Relative velocity of object 1 with velocity v1 with respect to v2 is given as  v12= v 1-v2 Here…

Q: A hiker lost in the woods walks in specific angles in order to find the way out of the woods. Assume…

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Q: Sam goes out for a grueling walk. He begins by travelling 56 m in a direction 21◦ east of north, and…

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Q: You enter an antique classic car road rally with your 1956 Studebaker Golden Hawk. The rally course…

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Q: yacht is traveling 35° west of south at 15 miles/hour in still water. Find the component form of…

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Q: Ruth sets out to visit her friend Ward, who lives 60 mimi north and 100 mimi east of her. She starts…

A: 1)Write the position vector of Ruth.Write the initial position vector of Ward.

Q: A small plane flies a distance d1 = 32 km in a direction θ1 = 64o north of east and then flies d2 =…

A: Given: Distance d1 =32 km Distance d2 =23 km Angles = 64 degrees and 18 degrees

Q: The route followed by a hiker consists of three displacement vectors Ā, B, and C. Vector A is along…

A: This problem can be solved using basic vector notation formula

Q: Margaret walks to the store using the following path: 0.920 mi west, 0.260 mi north, 0.280 mi east.…

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Q: While vacationing in the prairie you go on a nature walk. First you walk 160 m south, then a coyote…

A: Given Data: First leg of displacement (A→) = 160 m, south.Second leg of displacement (B→) = 260 m,…

Q: A straight river flows east at a speed of 8 mi/h. A boater starts at the south shore of the river…

A: Hey, there are multiple subparts posted, we are authorized to answer three subparts at a time, since…

Q: A straight river flows east at a speed of 11 mi/h. A boater starts at the south shore of the river…

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Q: An unsuspecting bird is coasting along in an easterly direction at 4.00 mph when a strong wind from…

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Q: Mariana finds a cave to explore. Starting at the cave entrance, Mariana first follows a passage 75.0…

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Q: What is the x-component of vector E? Suppose E = 2A+ 3B where vector A has components A, = 5, Ay = 2…

A: Given: E→ = 2A→ + 3B→Ax = 5 , Ay =2Bx = -3 , By=-5

Q: A motorist drives south at 24.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.60…

A: The displacement of the driver is shown in the vector diagram below: From the question, d1=-24×3×60…

Q: Morty is supposed to meet up with Rick, who is 50 mi north and 100 mi east of Morty,after exploring…

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Q: Consider the following scenario. A pilot is steering a plane in the direction N 45° W at an…

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Q: Margaret walks to the store using the following path: 0.850 mi west, 0.500 mi north, 0.210 mi east.…

A: Given data: Margaret walks 0.850 mi West 0.500 mi North 0.210 mi East Required: Magnitude and…

Q: A jogger travels a route that has two parts. The first is a displacement A of 2.65 km due south, and…

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Q: The route followed by a hiker consists of three displacement vectors A,B ,c Cand . Vector  A is…

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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: *65. ssm Vector A has a magnitude of 6.00 units and points due east. Vector B points due north. (a)…

A: Let x axis be east direction, and y axis be the north direction. Consider the figure

Q: A car comes to a bridge during a storm and finds the bridge washed out. The driver must get to the…

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Q: A pilot heads his jet due east. The jet has a speed of 450 mi/h relative to the air. The wind is…

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Scalars and Vectors

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