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,V.2
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 Coast Guard cutter detects an unidentified ship at a distanceof 20.0 km in the direction 15.0° east of north. The shipis traveling at 26.0 km/h on a course at 40.0° east of north.The Coast Guard wishes to send a speedboat to interceptand investigate the vessel. (a) If the speedboat travels at 50.0km/h, in what direction should it head? Express the directionas a compass bearing with respect to due north. (b) Find thetime required for the cutter to intercept the ship.arrow_forwardA plane leaves the airport in Galisteo and flies 170 km at 68.0 east of north; then it changes direction to fly 230 km at 36.0 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_forward1)An airplane starting from airport A flies 300 km east, then 350 km at 30.0° west of north, and then 150km north to arrive finally at airport B. (a) The next day, another plane flies directly from A to B in astraight line. In what direction should the pilot travel in this direct flight? (b) How far will the pilot travelin this direct flight?arrow_forward
- You pilot an airplane with the intent to fly 392 km in a direction 55.0° south of east from the starting airport. Air traffic controlrequires you to first fly due south for 85.0 km. (a) After completingthe 85.0-km flight due south, how far are you from your destination? (b) In what direction should you point your airplane to complete the trip? Give your answer as an angle relative to due east.(c) If your airplane has an average ground speed of 485 km>h, whatestimated time of travel should you give to your passengers?arrow_forwardA plane with a speed relative to still air of 78.5m/s is heading due south. After one hour an observer on the ground below sees that the plan has only traveled 255 km, and that the plane is 25.0°to the westof a direct path south. (a) What is the magnitude of the wind velocity? (b) What is the angle of the wind velocity relative to due west?arrow_forwardA 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_forward
- A 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 plane leaves the airport in Galisteo and flies 170 km at 68.0° east of north; then it changes direction to fly 230 km at 36.0° 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? (With precise solution please) A. 351km with a direction of south B. 351km with a direction of 11.8 degrees south of west C. 351km with a direction of 11.8 degrees south of east D. 351km with a direction of eastarrow_forwardThe eye of a hurricane passes over Grand Bahama Islandin a direction 60.0° north of west with a speed of 41.0 km/h.Three hours later the course of the hurricane suddenly shiftsdue north, and its speed slows to 25.0 km/h. How far fromGrand Bahama is the hurricane 4.50 h after it passes over theisland?arrow_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