Concept explainers
A Coast Guard cutter detects an unidentified ship at a distance of 20.0 km in the direction 15.0° cast of north. The ship is traveling at 26.0 km/h on a course at 40.0° east of north. The Coast Guard wishes to send a speedboat to intercept and investigate the vessel, (a) If the speedboat travels at 50.0 km/h, in what direction should it head? Express the direction as a compass bearing with respect to due north, (b) Find the time required for the cutter to intercept the ship.
Trending nowThis is a popular solution!
Chapter 3 Solutions
College Physics, Volume 1
Additional Science Textbook Solutions
The Physical Universe
Lecture- Tutorials for Introductory Astronomy
Essential University Physics: Volume 2 (3rd Edition)
Physical Science
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
- Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?arrow_forwardIn an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day and he is blown along the following directions: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 1.30 km and 25.0 south of west, then 5.10 km straight east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use a graphical method to find the castaway’s final position relative to the island.arrow_forwardVector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when |A+B|=3.0cm and |AB|=3.0cm .arrow_forward
- A pilot wants to fly due north, but finds that he must direct his plane 19.0° to the east to accomplish this. If the plane's air speed is 200 km/h, and the wind is from the east, what is the wind speed in km/h?arrow_forwardA light plane attains an airspeed of 530 km/h. The pilot sets out for a destination 750 km due north but discovers that the plane must be headed 17.0° east of due north to fly there directly. The plane arrives in 2.00 h. What were the (a) magnitude and (b) direction of the wind velocity? Give the direction as an angle relative to due west, where north of west is a positive angle, and south of west is a negative angle. (a) Number (b) Number 551 66.5 Units Units km/h ° (degrees)arrow_forwardA hiking girl needs to go 39.2 km straight North to get to base camp, instead the compass confuses her and she travels 17.248 km at a 3.9° deflection East from straight North. Then she realizes what she has done and so guesses an angle of 17.8° deflection West of straight North and then hikes 30.576 km. What is the magnitude of her displacement from where she is now located to base camp. (put your answer is standard units)arrow_forward
- The eye of a hurricane passes over Grand Bahama Island in a direction 60.0° north of west with a speed of 44.0 km/h. Three hours later, the course of the hurricane suddenly shifts due north, and its speed slows to 26.0 km/h. How far from Grand Bahama is the hurricane 4.00 h after it passes over the island?arrow_forwardA hiking girl needs to go 59.3 km straight North to get to base camp, instead the compass confuses her and she travels 33.208 km at a 4.9° deflection East from straight North. Then she realizes what she has done and so guesses an angle of 18.4° deflection West of straight North and then hikes 46.254 km. What is the magnitude of her displacement from where she is now located to base camp. (put your answer is standard units)arrow_forwardA plane leaves the airport in General Santos and flies 170 km at 68˚ east of north and then changes direction to fly 230 km at 48 ˚ south of east, after which it makes an immediate emergency landing in a pasture. When the airport sends out a rescue crew, in which direction and how far should this crew fly to go directly to this plane?arrow_forward
- Oasis B is 9.0km due east of oasis A. Starting from oasis A, a camel walks 20 km in a direction 15.0° south of east and then walks 34 km due north. If it is to then walk directly to B, (a) how far and (b) in what direction (relative to the positive x-axis within the range (-180°, 180°]) should it walk? Gruen data : Distance between A AND B'is d = 9,0 Km Please Note: step I step 2 all the answeRs are correct, The vector diagram of displacement of camel is shown below. A From step 4 (b) Please explain (Cindetail Why y ou use the 270° Qnd - tan () insteod of ton" ) Theunk jou! N R d2 W- B E C E In above figure: Step 4 d, = 20 km (а) d, = 34 km The distance travelled by the camel to reach the oasis B is: JBC + DC DB = Step 3 (10.318 km ) +(28.823 km )* = 30.6 km From geometrical property: (b) * Explaruthion, Please BC = AC – AB = d̟ cos15° - d = (20 km ) cos15° – 9.0 km 0 = 270° – ZCDB = 10.318 km The direction of displacement relative to positive x-axis is ВС = 270°- tan DC DC = DE - CE…arrow_forwardA ship sailing in the Gulf Stream is heading 25.0° west of north at a speed of 4,00 m /s relative to the water. Its velocity relative to the Earth is 4.80 30 m/s 5.00 west of north . What is the velocity of the Gulf Stream (The velocity obtained is typical for the Gulf Stream a few hundred kilometers off the east coast of the United States .arrow_forwarda plane is flaying at a speed of 320 mph on a bearing N 70° E. it's resultant speed is 370 mph and resultant direction is 60°. find the speed and direction of the windarrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University