wonderful hospital nurse on her first day of the job is checking on a variety of patients. Consider the nursing station to be her point of origin. She first travels 100 meters in a direction 37 degrees North of East to check on her first patient. she then travels 49.3 meters due North to check on her second patient. Finally she travels 50 meters due West to check on her third patient. Consider the North direction to be along the y coordinate and the East direction to be along the x coordinate. What is the y coordinate (i.e., in the North direction) in meters of the nurse's net displacement from the nurse's station (the origin)?

Q: Katherine goes on an adventure to the tower beyond the Aguna forest. She starts her trip by…

A: Given, Travel in direction of south east is 25 km at 45 degree and continues travel in north east 40…

Q: A clownfish lives in a certain sea anemone. Its position with respect to that sea anemone is 10 cm…

A:

Q: Two racing boats set out from the same dock and speed away at the same constant speed of 85.5 km/h…

A: Given Constant speed of the two boats is given as v=85.5 km/h Time of travels is t=0.500 h Angles…

Q: A boat radioed a distress call to a Coast Guard station. At the time of the call, a vector A from…

A:

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: A commuter airplane starts from an airport and takes the route shown in Figure P3.17. The plane…

A: Using the given figure- The displacement vector of the airplane from point O to A,…

Q: Ā Start a treasure hunt and your map 6 paces, and finally walk due

A: Given: Walk for west 33.5 paces at 60o Walk north of west at 34.6 paces and north 38.3 paces

Q: A ship starts from an island and sails 22.2 km in a direction 41.6° North of East. It then sails…

A: Given:- A ship starts from an island and sails d1 =  22.2 km in a direction θ= 41.6° North of the…

Q: A hiker begins her trip away from her car by first walking 38.0 km east. She stops and sets up her…

A: The motion of the hiker is given in the below diagram. The dark line represents the total…

Q: A commuter airplane starts from an airport and takes the route shown in the figure below. The plane…

A:

Q: Consider two vectors.  a=19.5x+17.5y b=3.9x-4.5y    what is the angle of the vector a-b…

A:

Q: A wall clock has a minute hand with a length of 0.46 m and an hour hand with a length of 0.26 m.…

A: Given: The length of the minute hand is 0.46 m. The length of the hour hand is 0.26 m.

Q: Find the magnitude of vector A = -2x + 3y + 62 and the angle it makes with the x, y, and z-axes.

A:

Q: Three vectors a, b, and , each have a magnitude of 42.0 m and lie in an xy plane. Their directions…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: A drone starts from an airport and takes the route described. The plane first flies to city A,…

A:

Q: Vector A S has magnitude 8.00 m and is in the xy-plane at an angle of 127 counterclockwise from the…

A: Let α and β denote the angles made by A and B counter-clockwise from the positive x-axis. Let i and…

Q: A radar station locates a sinking ship at range 16.6 km and bearing 136° clockwise from north. From…

A:

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

A: Depict the path followed by the small plane using the given co-ordinates,

Q: A motorboat traveled along a triangular course having sides of lengths 2 kilometers, 4 kilometers,…

A: Let the sides of lengths: a=2km, b=4 km, c=3km And let A,B,C be the angles corresponding to the…

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

A:

Q: Two cars are originally at the origin of a coordinate system. Car A drives directly East for 4…

A:

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

A:

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

A:

Q: following problem all angles are measured counter-clockwise from the positive x-axis. The vector A…

A: Given  A ,B and C vectors  required magnitude and direction of vector D=A-B-C

Q: Create vectors a = (20, 45°), and b = (10, 270°), and c = (8, 160°). Calculate the vector you would…

A: a = (20,45°)  b= (10,270°)  c= (8,160°)

Q: The route followed by a hiker consists of three displacement vectors Ā, B, and C. Vector A is along…

A: This problem can be solved using basic vector notation formula

Q: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind…

A: d1→ = 2.50 km (-cos45oi^ + sin45oj^)d1→ = -1.767i^ + 1.767j^ km d2→ = 4.70 km (+cos60oi^ -…

Q: A surveyor measures the distance across a straight river by the following method. Starting directly…

A: Given information:The distance she walked across the bank of river (d) = 138 mThe angle she sights,…

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

A:

Q: A radar station sends a signal to a ship which is located a distance 13.8 kilometers from the…

A: The position vector from radar station to ship is,

Q: lands at the point having the coordinates (1.84, 1.18) m, determine tne polar coordinates or the…

A: x= 1.84m    and y= 1.18m

Q: Two beetles run across flat sand, starting at the same point. Beetle 1 runs 0.57 m due east, then…

A:

Q: The angles γ1 (with the X-Axis.),γ2 (with the Y- Axis ) and γ3 (with Z- Axis) that the vector v̄ of…

A: Given  magnitude of vector (v)=50  angle with x-axis=750 angle with y-axis=600 angle with z…

Q: 62. GO A pilot flies her route in two straight-line segments. The displace- ment vector A for the…

A:

Q: In the sum Á + B = Ć ,vector Á has a magnitude of 13.4 m and is angled 35.2° counterclockwise from…

A: Given A=13.4m θ=35.2  C=14.1 m α=13

Q: What is the x-component of the child's initial position?

A: Component of vector Ax = Acosθ

Q: Borsalino wants to buy some ice cream in the nearest convenience store. He has to walk 5.3 meters,…

A: Given -  Magnitude of vector A→ , is A= 5.3 m and is directed along 12o north of east  and Magnitude…

Q: Consider the three displacement vectors A = (41-3ĵ) m, B = (9î - 3ĵ) m, and C = (-61 +5ĵ) m. Use the…

A: a) Calculate the vector D. D→=A→+B→+C→D→=(4i^−3j^) m+(9i^−3j^) m+(−6i^+5j^) mD→=(7i^−1j^) m

Q: A plane flies from base camp to lake A, a distance of 280 km at a direction of 20.0° north of east.…

A: Draw the vector diagram for the following situation.

Scalars and Vectors

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