Starting in Albany, you travel a distance 108 miles in a direction 12.0 degrees north of west. Then, from this new position, you travel another distance 123 miles in a direction 44.8 degrees north of east. In your final position, what is your displacement from Albany?

Q: Graph a scale drawing and determine graphically the magnitude and direction of the fourth…

A: Analyze the following figure. Here, A, B, C, and D represent the first, second, third, and fourth…

Q: A girl delivering newspapers covers her route by traveling 4.00 blocks west, 6.00 blocks north, and…

A: First displacement of girl Second displacement of girl Third displacement of girl

Q: Suppose you walk 14.5 m in a direction exactly 19° south of west then you walk 22 m in a direction…

A: The walking distance along 19 degrees south of west is The walking distance along 39 degrees west of…

Q: The map below shows that Atlanta is 730 miles in a direction 5.00° north of east from Dallas, and…

A: The x component of the position of Atlanta is,Substitute the values.

Q: A plane is flying with an airspeed of 165 miles per hour and heading of 145°. The wind currents are…

A: The Velocity of plane Vp=165 miles per hourThe velocity of wind Vw=20 miles per hour

Q: While exploring a cave, a speleologist starts at the entrance and moves the following distances in a…

A: A speleologist start at the entrance and moves 75.0 m north, 290.0 m east, 125.0 m at the an angle…

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: Hiker Harry walks 4 km east, then 7 km 25 degrees north of west. What is the magnitude and direction…

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

A:

Q: A cruise ship is moving through the water with a speed of 4.80 km/hr in a direction 34.0° east of…

A:

Q: An airplane needs to head due north, but there is a wind blowing from the southwest at 80 km/hr. The…

A: Draw the velocity diagram for the air and plane.

Q: A duck swims 4 m northeast, 3 m 60 degrees, and 5 m at 20 degrees north of west. How far is the…

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

Q: A red cross helicopter takes off from headquarters and flies 75 km at 30 degrees south of west.…

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Q: A girl delivering newspapers covers her route by traveling 6.00 blocks west, 5.00 blocks north, and…

A: (a)The final position of the girl relative to her starting location along x axis is,The final…

Q: Starting from a tree you walk 15 m due north and then 50 m in the direction 53° south of west. What…

A: To find the distance needed to return to the tree, we need to find the resultant displacement from…

Q: You    are    lost    in    the    woods.        When    you    left    camp    you    walked…

A:

Q: While following directions on a treasure map, a person walks 45.0m south, then turns and walks 7.50…

A: Given Data Displacements of the person are given as d1=45.0 m towards south and  d2=7.50 m towards…

Q: An airplane has a cruising speed (speed of plane with respect to the air) of 567 mph. The wind is…

A: Velocity is a vector quantity. This means we have to pay attention to the angle between the…

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: A Red Cross helicopter takes off from headquarters and flies 90 km in the direction 210° from North.…

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Q: Starting in Albany, you travel a distance 133 miles in a direction 19.6° north of West. Then, from…

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Q: A plane leaves Denver and travels 239 miles bearing N77 degrees W, then makes a course correction…

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Q: You go on a hike with some friends. First, you travel 1.7 miles in a direction due west. Then, you…

A:

Q: Vector A is 3 units in length and points along the positive x-axis; vector B is 4 units in length…

A: Given data Vector A = 3 points in +ve x direction Vector B, 4 units in the direction of 37 o from…

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: Solve the following problem using analytical techniques: suppose you walk 15.0 m straight west and…

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Q: Two airplanes are flying in the air at the same height. Airplane A is flying east at 451 mi/h and…

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Q: Starting in Albany, you travel a distance 130 miles in a direction 15.8 degrees north of west. Then,…

A: Analyze the diagram of the given situation. Note: The direction in east and north is taken to be…

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: An airplane starting at city A flies 350 km at 30 degrees east of north, 125km at 30 degrees east of…

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Q: The distance from Atlanta to Macon is about 80 mi at 58.5° south of east. What distances due east…

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Q: A boat travels on a course of 40.0° north of east for a distance of 300 km. How far north and how…

A: The boat makes 40deg angle with the east direction.  Thus, the cosine component is in the east…

Q: A civil-engineering student made the following displacements at home: (A) 2.0 m at 40 degrees and…

A:

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

Q: Starting in Albany, you travel a distance 475 miles in a direction 21.5 degrees north of west. Then,…

A: first leg of motion = 475 miles in a direction 21.5 degree north of west second leg of motion = 386…

Q: In what direction, as measured from the position of your car, is your final position? (Give your…

A: Given data: The distance in the southeast direction is: A = 25 km The distance in the northeast…

Q: It takes a golfer three strokes to get a golf ball into a hole. On the first hit, the ball moves 6.0…

A:

Q: Vector A⃗  has a magnitude of 9.30 m and is pointing in a direction of 25.0 degrees counterclockwise…

A: A resultant vector is a single vector that represents the combined effect of two or more individual…

Q: While exploring a cave, a spelunker starts at the entrance and moves the following distances: 76.9 m…

A:

Q: Suppose you walk 27.5 m straight east and then 17.5 m straight south. How far are you from your…

A: Given: The displacement of the object is 27.5 m east and then 17.5 m south.

Q: Rodolfo travels south 2 miles and then goes east 3 miles and then west 4 miles. What is his…

A: Given  Distance travelled south s1=2miles s2=3 miles east s3=4 miles west

Scalars and Vectors

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