An Introduction to Physical Science
14th Edition
ISBN: 9781305079137
Author: James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher: Cengage Learning
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Chapter 15, Problem 1SA
How is the origin defined in a Cartesian coordinate system?
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An airplane flies 200 km due west from city A to city B and then 355 km in the direction of 27.5° north of west from city B to city C.
(a) In straight-line distance, how far is city C from city A?
(b) Relative to city A, in what direction is city C?
(c) Why is the answer only approximately correct?
An airplane flies 200 km due west from city A to city B and then 325 km in the direction of 28.5° north of west from city B to city C.
(a) In straight-line distance, how far is city C from city A?
km
(b) Relative to city A, in what direction is city C?
north of west
(c) Why is the answer only approximately correct?
Imagine that the y-axis points north and the x-axis points east.
(a) If you travel a distance r= 22km in a straight line from the origin in a direction 35 degrees south of west, what is your position in Cartesian (x,y) coordinates?
(b) If you travel 6 miles due south from the origin and then turn west and travel 2 miles, how far from the origin and in what direction is your final position?
Chapter 15 Solutions
An Introduction to Physical Science
Ch. 15.1 - What is a Cartesian coordinate system?Ch. 15.1 - What do numbers on the x- and y-axes indicate on a...Ch. 15.2 - Prob. 1PQCh. 15.2 - Prob. 2PQCh. 15.2 - Determine the number of nautical miles between...Ch. 15.3 - Prob. 1PQCh. 15.3 - Prob. 2PQCh. 15.3 - Determine the standard time and date at 130W when...Ch. 15.4 - What is meant by the altitude of the Sun?Ch. 15.4 - Prob. 2PQ
Ch. 15.4 - What would be the latitude of the ship in Example...Ch. 15.4 - Make drawings illustrating the determination of...Ch. 15.5 - Prob. 1PQCh. 15.5 - Prob. 2PQCh. 15.6 - Prob. 1PQCh. 15.6 - Prob. 2PQCh. 15 - KEY TERMS 1. Cartesian coordinate system (15.1) 2....Ch. 15 - Prob. BMCh. 15 - Prob. CMCh. 15 - Prob. DMCh. 15 - Prob. EMCh. 15 - Prob. FMCh. 15 - Prob. GMCh. 15 - Prob. HMCh. 15 - Prob. IMCh. 15 - Prob. JMCh. 15 - Prob. KMCh. 15 - Prob. LMCh. 15 - Prob. MMCh. 15 - Prob. NMCh. 15 - Prob. OMCh. 15 - Prob. PMCh. 15 - Prob. QMCh. 15 - Prob. RMCh. 15 - Prob. SMCh. 15 - Prob. TMCh. 15 - Prob. UMCh. 15 - Prob. VMCh. 15 - Prob. WMCh. 15 - Prob. 1MCCh. 15 - Prob. 2MCCh. 15 - Prob. 3MCCh. 15 - Which of the following is true about longitude?...Ch. 15 - Which of the following is true of meridians?...Ch. 15 - Prob. 6MCCh. 15 - Prob. 7MCCh. 15 - Prob. 8MCCh. 15 - Prob. 9MCCh. 15 - Prob. 10MCCh. 15 - If the altitude of the Sun is measured to be 25,...Ch. 15 - What is the altitude of the Sun when it is just...Ch. 15 - Prob. 13MCCh. 15 - Prob. 14MCCh. 15 - Which of the following is true for an observer at...Ch. 15 - From September 22 to March 21, in what direction...Ch. 15 - Prob. 17MCCh. 15 - Which of the following is true for the Gregorian...Ch. 15 - Prob. 19MCCh. 15 - Prob. 20MCCh. 15 - A Cartesian coordinate system is also called a(n)...Ch. 15 - Prob. 2FIBCh. 15 - Prob. 3FIBCh. 15 - Prob. 4FIBCh. 15 - Prob. 5FIBCh. 15 - Prob. 6FIBCh. 15 - Prob. 7FIBCh. 15 - Prob. 8FIBCh. 15 - Prob. 9FIBCh. 15 - Prob. 10FIBCh. 15 - Prob. 11FIBCh. 15 - Prob. 12FIBCh. 15 - Prob. 13FIBCh. 15 - Prob. 14FIBCh. 15 - Prob. 15FIBCh. 15 - Prob. 16FIBCh. 15 - Prob. 17FIBCh. 15 - Prob. 18FIBCh. 15 - Prob. 19FIBCh. 15 - Prob. 20FIBCh. 15 - How is the origin defined in a Cartesian...Ch. 15 - What, on a sphere, is analogous to a...Ch. 15 - Prob. 3SACh. 15 - What are the minimum and maximum values for...Ch. 15 - Prob. 5SACh. 15 - Prob. 6SACh. 15 - Prob. 7SACh. 15 - Prob. 8SACh. 15 - Are meridians great circles? Explain.Ch. 15 - Prob. 10SACh. 15 - Prob. 11SACh. 15 - Prob. 12SACh. 15 - Prob. 13SACh. 15 - Prob. 14SACh. 15 - Distinguish between a solar day and a sidereal...Ch. 15 - Prob. 16SACh. 15 - Explain why the Sun moves 15/h.Ch. 15 - Prob. 18SACh. 15 - Prob. 19SACh. 15 - How were the latitude and longitude of a ship...Ch. 15 - Prob. 21SACh. 15 - Prob. 22SACh. 15 - Prob. 23SACh. 15 - Prob. 24SACh. 15 - Prob. 25SACh. 15 - Prob. 26SACh. 15 - Prob. 27SACh. 15 - Prob. 28SACh. 15 - Prob. 29SACh. 15 - Prob. 30SACh. 15 - Prob. 31SACh. 15 - Prob. 32SACh. 15 - Prob. 1VCCh. 15 - Prob. 1AYKCh. 15 - Prob. 2AYKCh. 15 - Prob. 3AYKCh. 15 - Barrow, Alaska (71N), gets 24 hours of daylight...Ch. 15 - Prob. 5AYKCh. 15 - Prob. 6AYKCh. 15 - Prob. 7AYKCh. 15 - Prob. 8AYKCh. 15 - What is the number of latitude degrees between...Ch. 15 - What is the number of latitude degrees between...Ch. 15 - What is the number of nautical miles between place...Ch. 15 - Prob. 4ECh. 15 - What are the latitude and longitude of the point...Ch. 15 - What are the latitude and longitude of the point...Ch. 15 - What are the standard time and date at (40N, 118W)...Ch. 15 - What are the standard time and date at (40N, 110W)...Ch. 15 - When it is 10 p.m. standard time on November 26 in...Ch. 15 - When it is 10 a.m. standard time on February 22 in...Ch. 15 - Prob. 11ECh. 15 - Prob. 12ECh. 15 - Prob. 13ECh. 15 - It is 6 a.m. on July 1 in London (51.5N, 0). What...Ch. 15 - What is the altitude of the Sun for someone in...Ch. 15 - What is the altitude of the Sun for someone in...Ch. 15 - What is the latitude of someone in the United...Ch. 15 - What is the latitude of someone in Europe who sees...Ch. 15 - Determine the month and day when the Sun is at...Ch. 15 - Determine the month and day when the Sun is at...Ch. 15 - At approximately what latitude is the noonday Sun...Ch. 15 - At approximately what latitude is the noonday Sun...Ch. 15 - A ships captain with a sextant measures the...Ch. 15 - Later in the voyage, on March 21, the captain in...Ch. 15 - Shooting the Sun with a sextant, the first mate on...Ch. 15 - On December 7, the first mate on a ship measures...Ch. 15 - The reading taken on a sailing ship shows that on...Ch. 15 - On June 21, the altitude of the noonday Sun is...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- What do numbers on the x- and y-axes indicate on a rectangular coordinate system?arrow_forwardImagine that the y-axis points north and the x-axis points east. (a) If you travel a distance r = 22 km in a straight line from the origin in a direction 35 degrees south of west, what is your position in Cartesian (x,y) coordinates? (b) If you travel 6 miles due south from the origin and then turn west and travel 2 miles, how far from the origin and in what direction is your final position?arrow_forwardAn air traffic controller notices two signals from two planes on the radar monitor. One plane is at altitude 1104 m and a 11.6-km horizontal distance to the tower in a direction 30.6° south of west. The second plane is at altitude of 5420 m and its horizontal distance is 8.8 km directed 23.8° south of west. What is the distance between these planes in kilometers?arrow_forward
- What is the number of latitude degrees between place A (60 N, 75 W) and place B (65 S, 75 W)arrow_forwardAn airplane flies 200 km due west from city A to city B and then 355 km in the direction of 30.5° north of west from city B to city C. (a) In straight-line distance, how far is city C from city A?arrow_forwardIf the Earth be at one half of its present distance from the Sun , how many days will be there in a year?arrow_forward
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- The average radius of Earth is typically accepted to be approximately 6371 km. Using this dimension, determine the surface area in km2 and the volume in km3. Give both answers in scientific notation to one decimal place.arrow_forwardIf city is located in 2.8° north latitude and 46.0° east longitude. From there, you want to fly to a city in 7° north latitude and 52° east longitude. How much is the arc length of the big circle at 11000 m when the earth's radius is 6370 km? The arc length is 14223 km. Give your answer rounded to one kilmetre. Your last answer was interpreted as follows: 14223 XAnswer is incorrect. Keep centre of Earth as origin and define vectors to cities. Try again.arrow_forwardThe rectangular coordinates of a point are (-9.00, 5.00), the polar coordinates of this point are: (29° ,10.3) (29° ,14) (151° ,14) (151° ,10.3)arrow_forward
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