Draw the most appropriate set of coordinate axes for this problem.

Q: The magnitude of vector  A  is 17.0 units and points in the direction 330° counterclockwise from…

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Q: A plane is flying with an airspeed of 140 miles per hour and heading 150°. The wind currents are…

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Q: Give the magnitude and direction of the resultant vector for the following. (Check your answers in…

A: (i)    Given vectors are in the same direction and have same magnitude (magnitude of each vector is…

Q: Two points in a plane have polar coordinates (2.40 m, 40.0°) and (4.50 m, 110.0°). (a) Determine…

A: The cartesian coordinates of a point is given by ax = acosθ ay = asinθ, where a is the magnitude of…

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…

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Q: An airplane has an airspeed of 540 kilometers per hour bearing N45°E. The wind velocity is 30…

A: The air speed of an airplane v1=540 [ cos ( 45 ) i + sin ( 45 ) j ] =540i2+j2 The wind velocity is…

Q: If you walk 24 m in a direction exactly 35° west of north and then you walk 11.5 m in a direction…

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Q: Starting from one oasis, a camel walks 45 km in a direction 30° south of west and then walks 20 km…

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Q: Starting in Albany, you travel a distance 427 miles in a direction 38.0 degrees north of west. Then,…

A: From Albany,displacement = 427 miles in 38 degrees north of westHorizontal component = 427 cos( 38)…

Q: A rabbit being chased by a fox moved 5 km north, then 6 km west. If the fox would run through the…

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Q: If F1 has a magnitude of 5 N at an angle of 60 degrees. F2 has a magnitude of 12 N at an angle of…

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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: (7%) Problem 7: Suppose a pilot flies 41 km in a direction 60° north of east and then flies 33 km in…

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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: AN airplane is flying is a constant altitude of 22000 meters. When first seen to the east of an…

A: The altitude AC=DB=22000 m D is the initial position of the plane and C is the final position .…

Q: Steve is driving in his car to take care of some lands. The first land has him driving to a location…

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

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

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Q: A car starts from the origin and is driven 1.25 km south, then 8.75 km in a direction 57° north of…

A: Given value--- firstly driven 1.25 km south, then 8.75 km in a direction 57° north of east. We…

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

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Q: 2. Do the same with number 1 but use H + i + j.

A: Given, There are some vector with magnitude and direction.

Q: Suppose you walk 15 m in a direction exactly 19° south of west then you walk 25.5 m in a direction…

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

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Q: The problem below refers to a vector V with magnitude |V| that forms an angle ? with the positive…

A: Magnitude of a vector  is Angle made by given vector with +x-axis is Find:Horizontal and vertical…

Q: A person walks 35° south of west for 4.56 km. How far due west and how far due south does the person…

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Q: wonderful hospital nurse on her first day of the job is checking on a variety of patients. Consider…

A: first leg of displacement = 100 m in a direction 37 degree north of east second leg of displacement…

Q: Which equation would give the x-component of Vector A with a magnitude of 76.50 m, 75° South of…

A: x component of a vector = A cosθ

Q: If a poodle is roaming in the direction N 38 degrees E at a speed of 2 mph . What is the poodle's…

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Q: MY NOTES ASK YOUR TEACHER Two geological field teams are working in a remote area. A global…

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Q: An ocean liner leaves New York City and travels 22.4° north of east for 239 km. How far east and how…

A: All physical quantities in this world is classified as either vectors or scalars. Any vector can be…

Q: Referring to the vectors in the figure, express the sum A⃗ +B⃗ +C⃗  in unit vector notation.(Figure…

A: The x-component of the vector sum is given by

Q: A vector V of magnitude 13.0 units is directed toward 22.6° north of west. Resolve this vector into…

A: The given vector has a magnitude of 13 units. This vector is directed towards 22.6o north of west.…

Q: 1. Use components to find the magnitude and direction of Ē + F + G. Then sketch the vector addition…

A: As directed Question 1 will be answered. E→=13.0 Km, NF→=14.0 Km, EG→=13.0 Km, NE (45° North of…

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

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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: 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 is flying with an airspeed of 140 miles per hour and heading 150°. The wind currents are…

A: Given, speed of the plane is vp=140mi/h the direction of the plane is toward 150o speed of the wind…

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

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Q: What is the angle above the x-axis (north of east) for a vector with components (15 m, 8 m)?

A: The objective of the question is to find the angle above the x-axis (north of east) for a vector…

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.