A cruise ship is moving through the water with a speed of 4.80 km/hr in a direction 34.0° east of north (that means 34.0° clockwise from north.) After 3.00 hours, the ship changes course and moves with a speed of 5.40 km/hr for 2.00 hrs in a direction 54.0° south of east (that means 54.0° clockwise from east, [east is to the right]). Find the total displacement of the ship during the whole trip (magnitude and direction.) Use the components method with a head-to-tail diagram

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 Coast Guard cutter detects an unidentified ship at a distance of 19.0 km in the direction 15.0°…

A:

Q: Oasis B is 7.0 km due east of oasis A. Starting from oasis A, a camel walks 23 km in a direction…

A: Step 1: Draw a diagram of the problem: Step 2: Based on our diagram, we can imagine 2 right…

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: Transcribed image text: 1. A small plane takes off from the island of Pango and flies for 90.0…

A: Given,1. Flight from Pango to Tango:- Time: 90.0 minutes = 1.5 hours- Speed: 250 MPH- Direction: 15…

Q: The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the…

A: According to the data Va =50km/h at N45W Vp =300km/h at N60E we need to find True course and the…

Q: An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be…

A:

Q: A spelunker is surveying a cave. She follows a passage that takes her a distance 190 m straight…

A:

Q: The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the…

A: According to the data Vair =30km/h from the N45W Vplane=150km/h in the N

Q: A Coast Guard cutter detects an unidentified ship at a distance of 16.0 km in the direction 15.0°…

A:

Q: A novice golfer in the green takes three strokes to dunk the ball. The successful displacement 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: You are walking on a bearing of 32 degrees. You turn right 115 degrees and continue walking forward.…

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Q: Starting in Albany, you travel a distance 430 miles in a direction 39.5 degrees north of west. Then,…

A: Given the distance travel 430 miles in a direction 39.5o North of west.the distance travel 320 miles…

Q: positive x-axis. What direction (as an angle counterclockwise from the positive x-axis in degrees)…

A: Here, we have seen there are two vectros like,

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

A:

Q: An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be…

A: Actual displacement which the explorer had to travel = 5.5 km , due north first leg of displacement…

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: A radar station sends a signal to a ship which is located a distance 13.0 kilometers from the…

A: Solution:                                                                                    We get…

Q: 4 A -2 4 -2 Consider the two vectors, A and B, in the figure. The x and y components of both vectors…

A: Addition of two vectors A→=axi^+ayj^+azk^ and B→=bxi^+byj^+bzk^ is given by-…

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 Coast Guard cutter detects an unidentified ship at a distance of 22.0 km in the direction 15.0°…

A:

Q: Two racing boats set out from the same dock and speed away at the same constant speed of 82.5 km/h…

A: The speed of the two boats are same,The direction of the blue boat south of west,The direction of…

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: A hiking girl needs to go 24.8 km straight North to get to base camp, instead the compass confuses…

A:

Q: A sailboat sets out from the U.S. side of Lake Erie for a point on the Canadian side, 97.0 km due…

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Q: A hiking girl needs to go 24.8 km straight North to get to base camp, instead the compass confuses…

A:

Q: To get out of the harbor, a container ship sails at a bearing of 240° for 6 km before changing…

A: In this problem we will treat the two displacements as vectors.  resolve them into their respective…

Q: An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be…

A:

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

A:

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 team is exploring a tresure. They start at the entrance of a national park and makes the following…

A: The displacement of the team is shown in the figure below: O is the entrance of the park and R→ is…

Scalars and Vectors

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