It takes a golfer a total of three strokes to put the ball in the hole. The displacements of the three strokes are as follows:  d1 = 4.20 m  the north,  d2 = 2.00 m  northeast, and  d3 = 1.10 m  at  ? = 35.0°  west of south, as shown in the figure. If the golfer had made the hole in a single shot, what would be the displacement of the ball? (Assume the positive y- and x-axes are in the north and east directions, respectively. Give the magnitude of your answer in meters and the direction in degrees north of east.)

Q: From the window of a building, a ball is tossed from a height y0 above the ground with an initial…

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

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Q: What is the resultant of vectors A=5m West and B=15m 60° North of West using the polygon method?

A: A = 5 m West B = 15 m at 60° North of West Choose a scale as 1 cm = 5 m.

Q: A cave diver enters a long underwater tunnel. When his displacement with respect to the entry point…

A: Given The direction out of the tunnel is positive, so moving into the tunnel is negative…

Q: Four men are competing in an air-racing event using their brand-new aerobatic planes. They took off…

A: Given :     A→ = -3i^-j^-2k^     B→ =  8i^-5j^-4k^     C→ = -6i^-4j^+7k^     D→ = 4i^-2j^+7k^

Q: From the window of a building, a ball is tossed from a height y0 above the ground with an initial…

A: a) The required initial coordinates are: b) The required x and y component of initial velocities…

Q: a student drives his car 6.0 km, North before making a right hand turn and driving 6.0km to the…

A: A student drives his car and going north 6.0 km then 6.0 km east and finaly goes 2.0 km north again

Q: A golfer was able to shoot the ball in the hole after three putt: 6 m North, then 2.4 m at an angle…

A: There are 3 shots here which we can consider as 3 vectors. First 6 m north then 2.4 m at an angle…

Q: A sailor in a small boat encounters shifting winds. She sails 8 km south, then 15 km 30° E of N, and…

A: Given: The first path is equal to: 8 km south.   The second path is equal to: 15 km 30° East of…

Q: A novice golfer in the green takes three strokes to dunk the ball. The successful displacement of…

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Q: Given vectors a=(-2,8) and b=(-3,1) Find the x-component of the resultant vector: T= 3a – 26

A: Given  a = -2i + 8j and b = -3i + 1j

Q: A student walks 1 km due east and 3 km due south. Then she runs 5 km due west. The magnitude of the…

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Q: What is the magnitude of the resultant of these vectors 100 N due south and 100 N 30° north of west

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Q: What is the resultant of vector A=5m West, B=10m 30° South of West and C=15m South using component…

A: A = 5 m West, B = 10 m at 30° South of West C = 15 m South  Write the displacements in the vector…

Q: Your dog is running around the grass in your back yard. He undergoes successive displacements 3.62 m…

A: Answer will be magnitude = 8.283 Direction = 166.925 degree  Now detailed explanation in step by…

Q: Find for the total distance and total displacement of the given. Draw a graph and label the angle:…

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Q: An Airplane travels with the following displacement vectors: D1 = 120 km 30° S of E D2 20000 ft NW…

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Q: A dog walks due East for 10.5 meters, then turns around and walks due West for 6.0 meters. What is…

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Q: QI. Find the vector sum of the following four displacements on a map: 60 mm north; 30 mm west; 40 mm…

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Q: A motor vehicle travels 20.0 km due north and then 35.0 km in a direction 60.0° west of north. Find…

A: Given: Motor vehicle travels 20 km along north & turns 60∘west for 35 km.

Q: While exploring a cave, a spelunker starts at the entrance and moves the following distances: 100 m…

A: Given data S1 = 100m east S2 = 300m south S3 = 150m, 30 degrees south of west S4 = 200m, 60 degrees…

Q: Given vectors a=(-4,-5) and b=(-9,-7) Find the magnitude of the resultant vector: r=5a-3b

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Q: An old lady, to maintain her health during morning walk, covers three displacements. The first has a…

A: Given:- Three displacement is given as  d1 = 200 m  make an angle of 110o to the positive  x- axis…

Q: A novice golfer on the green takes three strokes to sink the ball. The successivedisplacements of…

A: Given data: The magnitude of displacements is,

Q: A man drives 10miles to the north and then 20 miles to the east. What are the magnitude and…

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

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Q: A hiker begins a trip by walking 25 km southwest from the base camp. On the next day she walks 40km…

A: Draw the vector diagram for the complete trip.

Q: A bee, searching for nectar, flies 100 m east, 150 m south, and then 200 m west. Find the magnitude…

A: Given, 1st direction= 100 m east, then 150 South and then 200 West.   To Find- Total displacemnt

Q: 12. A boy delivering newspapers covers his route by traveling 100m West, 50m south an then 300m 30°…

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Q: A disoriented professor drives 5.5 km east, then 4.2 km north then 2.5 km northwest. Find the…

A: A = 5.5 km east  B = 4.2 km north  C = 2.5 km north west

Q: Two vectors, of magnitudes 20 and 30, are added. Which one of the following is a possible answer for…

A: If  a and b  are two vectors then magnitude of a+b is, |a+b| = √(a2+b2+2abcosθ)  We know, maximum…

Q: Consider the three displacement vectors A = (4î – 35) m, B = (2î – 5j) m, and C = (-3î + 5j) m. Use…

A: Given : A→=4 i^-3j^   m B→=2 i^-5 j^   m C→=-3 i^+5 j^   m   D→=A→+B→+C→ What we have to find :…

Q: What is the resultant of vectors A=5m South and B=15m 60° South of West using the polygon method?

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Q: Suppose you first walk A - 13.0 m in a direction e, - 15° west of north and then 8- 21.5 m in a…

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Q: 3 km due south.

A: The situation is represented as:

Q: A student drives 10 km to the north and then 20 km 30 degrees South of the east. By using the…

A: Given value--- d1 = 10 km to the North. d2 = 20 km , 30 degree south of the east. We have to…

Q: From the window of a building, a ball is tossed from a height y0 above the ground with an initial…

A: Initial velocity (v) = 7.50 msAngle = 18o below horizontal Time taken to hit the ground = 5 seconds…

Q: A man runs 5km due to east, 6km due to west and then 1km due to north. Determine its magnitude…

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Q: From the window of a building, a ball is tossed from a height y0 above the ground with an initial…

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Q: A truck starts out at position x = 3.2 mi and y = 6.2 mi and winds up at position x = 5.6 mi, y =…

A: Given that, The initial position of the vehicle  =    r1→=3.2i^+6.2j^ The final position of the…

Q: A cross-country skier skis 1.0 km north and then 2.0 km east. How far and in what direction is she…

A: Given, skier skis 1.0 km north and then 2.0 km east Let resultant displacement be R km and let…

Q: 6. A student walks 1.0 kilometer due east and 3.0 kilometer due south. Then she runs 5.0 kilometers…

A: Given,        1KM due East        3KM due south       5KM due west    displacement is the shortest…

Q: The figure shows the path taken by a drunk skunk over level ground, from initial point i to final…

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

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Q: You drive a car 610 m to the east, then 400 m to the north. What is your magnitude of displacement?

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Q: From the window of a building, a ball is tossed from a height y0 above the ground with an initial…

A: Given data: The initial velocity  of the ball is, vi = 8.70 m/s The angle of projection is, θ= 210…

Q: A golfer finished his game as given below. X: first hole; 112 m, 18° west of south Y: second hole;…

A: First displacement (X) = 112 m @18o west of south Second displacement (Y) = 245 m @27o east of north…

Q: A = 15m due West To get from one office to another in a company, a man travels as follows: B = 25 m,…

A: Given  A = 15 m due west  B = 25 m ,53 ° east of north  C = 20 m due east

Q: In a hospital, a doctor walks 10 m east, 14 m 45° north of east, and 12 m 20° south of west. Find…

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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.