You are on a treasure hunt and your map says "Walk due west for 86.1 paces, then walk 50.0 ° north of west for 65.5 paces, and finally walk due north for 11.9 paces." What is the magnitude of the component of your displacement in the direction (a) due north and (b) due west?

Q: Problem 2: A pilot flies 30 km in a direction 60° north of east, then flies 20 km in a direction 15°…

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Q: Vector A has magnitude 11 m and points 30° north of east. Vector B has magnitude 6 m and points 30°…

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Q: An ocean liner leaves New York City and travels 15.7° north of east for 145 km. How far east and how…

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Q: positive x-axis. What direction (as an angle counterclockwise from the positive x-axis in degrees)…

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A: Displacement vector = 4(cos45°i + Sin45°j) + 3(-cos60°i + Sin60°j) + 5(-Cos20°i + Sin20°j)  = (-…

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

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Q: A man jogs due east for a distance of 1.42 miles, turns around and goes due west for 3.06 miles, and…

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Q: so that a car travels horizontally for 172 ft, then climbs 117 ft at an angle of 32.0° above the…

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Q: During a walk through a park, a person wanders to look at three different gardens. The person makes…

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Q: A girl delivering newspapers covers her route by traveling 1.75 blocks west, 3.50 blocks north, and…

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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: a.) Vector A has a magnitude of 6.0 m and points 30° north of east. Vector B⃗ has a magnitude of 4.0…

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Q: A novice golfer on the green takes three strokes to sink the ball. The successive displacements are…

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Q: One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which…

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Q: 13. A 4.50-kg child is swinging on a swing. If she is released from rest at a point 1.45 m above the…

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Q: Vectors A and B are shown in the figure. Vector C is given by B - A.The magnitude of vector A is…

A: Magnitude of vector A→ is A=18 units Magnitude of vector B→ is B=10 units Vector  A→ makes an angle…

Q: Two vectors are given by A = 4.00 i + 7.00 j and B = 5.00 i – 3.00 j. What is the resultant…

A: Given Two vectors are given by A = 4.00 i + 7.00 j B = 5.00 i – 3.00 j

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

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Q: Vector A is in the direction 39.0° clockwise from the -y-axis. The x-component of A is A₂ = -12.0 m.

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Q: A woman sailing a boat is following directions to a dock. First she sails 27.5m 66 degrees NE. Then…

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Q: Suppose you walk 25.5m in a direction exactly 36° west of north and then walk 15 m in a direction…

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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: You walk 200 feet west and 100 feet north to bury your treasure chest. But when you return to dig it…

A: The angle with respect to north is, ϕ=tan-1xy=tan-1200 ft100 ft=63.4o

Q: A figure skater glides along a circular path of radius 3.84 m. (a) If she coasts around one half of…

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