The Gulf Stream off the east coast of the United States can flow at a rapid 3.6 m/s to the north. A ship in this current has a cruising speed of 10 m/s. The captain would like to reach land at a point due west from the current position.
a. In what direction with respect to the water should the ship sail?
b. At this heading, what is the ship’s speed with respect to land?
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
College Physics: A Strategic Approach Plus Mastering Physics with Pearson eText -- Access Card Package (4th Edition) (What's New in Astronomy & Physics)
Additional Science Textbook Solutions
Modern Physics
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Life in the Universe (4th Edition)
University Physics Volume 1
Lecture- Tutorials for Introductory Astronomy
Physics for Scientists and Engineers with Modern Physics
- Two birds begin next to each other and then fly through the air at the same elevation above level ground at 22.5 m/s. One flies northeast, and the other flies northwest. After flying for 10.5 s, what is the distance between them? Ignore the curvature of the Earth.arrow_forwardA student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vi= 18.0 m/s. The cliff is h = 50.0 m above a body of water as shown in Figure P3.19. (a) What are the coordinates of the initial position of the stone? (b) What are the components of the initial velocity of the stone? (c) What is the appropriate analysis model for the vertical motion of the stone? (d) What is the appropriate analysis model for the horizontal motion of the stone? (e) Write symbolic equations for the x and y components of the velocity of the stone as a function of time. (f) Write symbolic equations for the position of the stone as a function of time. (g) How long after being released does the stone strike the water below the cliff? (h) With what speed and angle of impact does the stone land?arrow_forward(a) A jet airplane flying from Darwin, Australia, has an air speed of 260 m/s in a direction 5.0° south of west. It is in the jet stream, which is blowing at 35.0 m/s in a direction 15° south of east. What is the velocity of the airplane relative to the Earth? (b) Discuss whether your answers are consistent with your expectations for the effect of the wind on the plane's path.arrow_forward
- A river is moving east at 4 m/s. A boat starts from the dock heading 30 north of west at 7 m/s. If the river is 1800 m wide, (a) what is the velocity of the boat with respect to Earth and (b) how long does it take the boat to cross the river?arrow_forwardA plane has an airspeed of 200 mph. The pilot wishes to reach a destination 600 mi due east, but a wind is blowing at 50 mph in the direction 30° north of east.a. In what direction must the pilot head the plane in order to reach her destination?b. How long will the trip take?arrow_forward. a, Cyclist heads due west on a straight road. The wind is blowing from 246° at 11 m/s. a. Is this wind more like a headwind or a tailwind? b. What is the headwind or tailwind speed? c. What is the crosswind speed?arrow_forward
- David is buying a jet boat this summer and spending a lot of time zooming around. One place he plans on going is to the Plate River above Albany, NY. The current is 4 m/s south and the river is 200m wide. the boat will move at 20 m/s at full throttle, his only setting. A. how quickly will he cross the river if he heads straight across?B. how far downstream will he end up if he does so?C. if he wants to go straight across, what angle upstream should he use?arrow_forwardA person can row a boat at 4.00 mi/h in still water. They need to cross ariver that is 1.50 mi wide with a current flowing at 2.60 mi/h. a. Draw a labeled picture of the situationb. In order to go straight across, what angle upstream should they point theboat?c. What is the persons speed with respect to the starting point?d. How long does it take them to cross the river?e. Let’s assume they angle the boat at 60o upstream. How far upstream ordownstream from their starting point will they end up when reaching theopposite bank?arrow_forwardAn airplane is flying due north with an indicated airspeed of 240 km/hr: If there is a wind of 100 km/ from west to east, hr What is the velocity of the plane relative to the earth? b. What angle from true north is the plane heading? What heading (direction) will the pilot need to steer to compensate for the crosswind? d. What is the plane's velocity relative to the earth on this heading? a. с.arrow_forward
- An Alaskan rescue plane drops a package of emergency rations to a stranded party of explorers. If the plane is traveling east at 40 m/s and is 100 meters above the ground: a.Using the release point as the origin, find the time it takes for the package to reach the ground once released. b.How far east of the release point does the package strike the ground? Also, What is the speed of the package as it hits the ground? c.With what angle (below the horizontal) does the pack strike the ground? Please show work for all of the parts.arrow_forwardYou wish to row straight across a 63-m-wide river. You can row at a steady 1.3 m/s relative to the water, and the river flows at 0.57 m/s A. In what direction should you head? Express your answer using two significant figures. B. How long will it take you to cross the river? Express your answer using two significant figures.arrow_forwardAn object is thrown off the top of a building with velocity 36 m/s at an angle 18 degrees with respect to the horizontal. The object travels a horizontal distance of 269 m before landing on the ground. a. How high is the building in meters? b. What is the magnitude of the velocity of the object when it reaches the ground? c. What is the direction of the object when it reaches the ground, in degrees from the positive x axis?arrow_forward
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College