An airplane undergoes the following displacements, all at the same altitude: First, it flies 80.0 km in a direction 30.0° east of north. Next, it flies 57.0 km due south. Finally, it flies 100 km 30.0° north of west. Use components to determine how far the airplane ends up from its starting point. 76.2 km 77.8 km 80.9 km 74.7 km 79.3.0 km

Q: A car travels 20km due west and 30km in a direction 35° north of east. X component of the resultant…

A: Let x and y axes be along East to west, North to south respectively S1= -20i  S2= 30cos35° i…

Q: A roller-coaster car moves 172 ft horizontally and then rises 115 ft at an angle of 32.0° above the…

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Q: Using the data presented in the drawing and that 8 = 44°, determine the y-components of the vectors…

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Q: 1. A man runs 135 m in a direction 20.0° east of north and then 95.0 m in a direction 35.0° south of…

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Q: A person drives a car west for a distance of 4.00 km and then 2.83 km in a direction 75 degrees…

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Q: Arvin the Ant is on a picnic table. He travels 30 cm northeast, then 25 cm due north, and finally 15…

A: Given data: Ant travels 30 cm northeast, then 25 cm due north, and finally 15 cm west Need to…

Q: A dog in an open field runs 12.0 m east and then 30.0 m in a direction 48.0° west of north. Part A…

A: The objective of this question is to find the direction and distance the dog must run to end up 10.0…

Q: A car travels 30km due south and 40km in a direction 30° north of east. X component of the resultant…

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Q: 43

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Q: A car travels 20km due north and 30km in a direction 30° north of east. X component of the resultant…

A: A car travels 20 km north and 30 km in direction 30° north of east.  The east direction is taken as…

Q: A person walks 2.05 km south and then 2.75 km east, all in 3.00 hours. (a) What is the magnitude (in…

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Q: A ladybug is trying to get to a certain flower by following this path. She moves 23 cm to the left,…

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Q: Sarah is traveling 22km due South. She turns 20° S or E for 16km. She then turns due N for 40km, she…

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Q: A river is flowing at a rate of 7.62 m/s due South. You are canoeing across the river at a speed of…

A: Given that:- Velocity of river=7.62m/s due south

Q: You walk 33 m to the north, then turn 60° to your right and walk another 45 m. How far are you from…

A: Let's assume X-axis along the east direction and Y-axis along north direction. Take, east and north…

Q: 1). distance of 5.3 miles at an angle of 66° north of east. After teaching, I drive to Mauney's Feed…

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Q: A ball is thrown with a velocity of 30.0 miles per hour at an angle of 60 degrees from the top of a…

A: Given data The initial velocity of the ball is u = 30 mph = 44 ft/sec. The angle of inclination of…

Q: A person walks in the following pattern: 2.2 km north, then 2.9 km west, and finally 4.4 km south.…

A: Given:- A person walking a distance in the north direction is d1=2.2 km Then he walks in the west…

Q: A car travels 40km due west and 40km in a direction 35° north of east. X component of the resultant…

A: first leg of displacement of car = 40 km due west second leg of displacement = 40 km @35o north of…

Q: Find the angle θ in ° N of E

A: Kindly note that here when vectors are shifted it is always shifted in parallel. The x and y…

Q: A person walks 14 m East and then walks 33 m at an angle 13° above the horizontal. What is the…

A: Given, A person walks 14 m East and then walks 33 m at an angle 13° above the horizontal .

Q: A delivery van is heading the ff routes: A = 6.0 km toward East B = 8.0 km toward North C = 4.0 km,…

A: A = 6i km  B = 8j km  C = 4(-Cos30°i+ Sin30°j) = (-3.46i + 2j ) km D = 10 (-Cos50°i - Sin50°j) =…

Q: A car goes east at 90 km/h for 0.75 hours, and then turns on a road heading 30° north of east at 88…

A: Given data The speed of the car in the east direction is vOA = 90 km/h The duration of the car…

Q: Suppose you first walk 12.5 m in a direction 20° west of north and then 25.5 m in a direction 40°…

A: d1 = 12.5 m @20o west of north d2 = 2.5 m @40o south of west

Q: A paper delivery person walks 1.5km (East), then 2.0km (North), then 3.0km (West) and finally 3.0km…

A: Given data:  The displacements of the delivery person d1 = 1.5 km [E], d2 = 2.0 km [N], d3 = 3.0 km…

Q: A čar travels 30km due east and 35km in a direction 20° north of east. X component of the resultant…

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Q: Suppose a pilot flies 15.0 km in a direction 60° N of E and then flies 30.0 km in a direction 15° N…

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Q: You walk 43 m to the north, then turn 60° to your right and walk another 45 m. How far are you from…

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Q: In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great…

A: d1 = 2.5 km @45o north of west d2 = 4.70 km@60o south of east d3 = 5.1 km due east d4 = 7.2 km @55o…

Q: An airplane flies 3 km due north from one city to another. Its airspeed is 132 m/s and a constant…

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Q: Which of the following statements is incorrect? Distance and displacement are always equal in…

A: Distance is a scalar quantity whereas displacement is a vector quantity. S.I. unit of both distance…

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: A treasure map shows a path from the hanging tree to walk to find the buried treasure. It reads to…

A: Given that : A = 148 N in negative x axis B= 148 N and 30 degree from +x axis C= 74 N in + x axis…

Q: Q3:. A hiker start from his parked car and walked as follows: 12km due east followed by 8km at 40 °…

A: Given: Hiker walked 12 km east. Again, he walked 8 km followed by 11 km at 40∘ of east. Standard…

Q: walk 37 m to the north, then turn 61° to your right and walk another 45 m. How far are you from…

A: We can solve this problem using vector addition

Q: S displacement measures 200 m, 40 degrees North of West. Its horizontal component S = 200 m 153.21 m…

A: Given, A displacement measures 200 m, 40 degrees north of west.

Q: A car travels 40km due south and 45km in a direction 25° north of east. X component of the resultant…

A: For the given situation moving south for 40 km and then 25o North of east will be represented by the…

Scalars and Vectors

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