While exploring a cave, a spelunker starts at the entrance and moves the following distances in a horizontal plane. She goes 75.0 m north, 250 m east, 125 m at an angle 30 north of east, and 150 m south. Find her resultant displacement from the cave entrance.

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: A vector A has components A, = -3.50 m and A, 6.50 m. Find the magnitude (in m) and the direction…

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Q: Suppose you walk 11.5 m in a direction exactly 17° south of west then you walk 24 m in a direction…

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Q: You are on a treasure hunt and your map says "Walk due west for 86.1 paces, then walk 50.0 ° north…

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Q: A spelunker is surveying a cave. She follows a passage that takes her a distance 190 m straight…

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Q: Instructions for finding a buried treasure include the following: Go 73.0 paces at 235°, turn to…

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Q: A person walks 15.0° north of east for 3.60 km. How far due north and how far due east would she…

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Q: A dog searching for a bone walks 2.10 m south, then 8.20 m at an angle 30.0° north of east, and…

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Q: Instructions for finding buried treasure include the following: Go 71.0 paces at 256 degrees, turn…

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Q: You are on a treasure hunt and your map says "Walk due west for 23.1 paces, then walk 40.0° north of…

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Q: Suppose you walk 11.5 m in a direction exactly 17° south of west then you walk 24 m in a direction…

A: To find out how far you are from your starting point, you can use vector addition to determine the…

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 frog makes four jumps in a row. The displacement vectors for the four jumps are: (1) 28.0 cm, due…

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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…

A: The woman sails in the north of east direction for a distance of r1 = 27.5 m at 66° And then in the…

Q: You walk 37 m to the north, then turn 61° to your right and walk another 45 m. Determine the…

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Q: Vector G is 40.3 m long in a -35.0° direction. Vector H is 63.3 m long in a 270° direction. Find the…

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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 3.93 m. (a) If she coasts around one half of…

A: Displacement is define as the separation between the initial and final point of the journey this is…

Q: An ocean liner leaves New York City and travels 16.2° north of east for 117 km. How far east and how…

A: a) The distance travelled along East direction is    DEast=(117 km)cos16.2o           =112 km

Scalars and Vectors

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