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
Additional Science Textbook Solutions
Fundamentals Of Thermodynamics
Campbell Biology (11th Edition)
SEELEY'S ANATOMY+PHYSIOLOGY
Human Physiology: An Integrated Approach (8th Edition)
Chemistry: The Central Science (14th Edition)
Principles of Anatomy and Physiology
- 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
- Pls help ASAParrow_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_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_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 ship sets out to sail to a point 133 km due north. An unexpected storm blows the ship to a point 129 km due east of its starting point. (a) How far and (b) in what direction (as an angle from due east, where north of east is a positive angle) must it now sail to reach its original destination?arrow_forwardA sailboat sets out from the U.S. side of Lake Erie for a point on the Canadian side, 90.0 km due north. The sailor, however, ends up 50.0 km due east of the starting point. (a) How far and (b) in what direction must the sailor now sail to reach the original destination?arrow_forward
- A 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_forwardA sailboat sets out from the U.S. side of Lake Erie for a point on the Canadian side, 89.0 km due north. The sailor, however, ends up 43.0 km due east of the starting point. (a) How far must the sailor now sail to reach the original destination? (b) In what direction must she sail? (counterclockwise from due east)arrow_forwardYou are participating in a summer internship with the Coast Guard. You have been assigned the duty of determining the direction in which a Coast Guard speedboat should travel to intercept unidentified vessels. One day, the radar operator detects an unidentified vessel at a distance of 20.0 km from the radar installation in the direction 15.0° east of north. The vessel is traveling at 26.0 km/h on a course at 40.0° east of north. The Coast Guard wishes to send a speedboat, which travels at 50.0 km/h, to travel in a straight line from the radar installation to intercept and investigate the vessel, and asks you for the heading for the speedboat to take. Express the direction as a compass bearing with respect to due north.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