Concept explainers
A plane leaves Seattle, flies 85 mi at 22° north of east and then changes direction to 48° south of east. After flying 115 mi in this new direction, the pilot must make an emergency landing on a field. The Seattle airport facility dispatches a rescue crew, (a) In what direction and how far should the crew fly to go directly to the field? Use components to solve this problem, (b) Check the reasonableness of your answer with a careful graphical sum.
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
College Physics (10th Edition)
Additional Science Textbook Solutions
Conceptual Physics (12th Edition)
Lecture- Tutorials for Introductory Astronomy
Physics: Principles with Applications
University Physics with Modern Physics (14th Edition)
Essential University Physics: Volume 2 (3rd Edition)
The Cosmic Perspective Fundamentals (2nd Edition)
- A skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?arrow_forwardThree displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44arrow_forwardA surveyor measures the distance across a straight river by the following method (Fig. P1.6). Starting directly across from a tree on the opposite bank, she walks d = 100 m along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is 0 = 35.0. How wide is the river? Figure P1.6arrow_forward
- 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_forwardA surveyor measures the distance across a river that flows straight north by the following method. Starting directly across from a tree on the opposite bank, the surveyor walks 100 m along the river to establish a baseline. She then sights across to the tree and reads that the angle from the baseline to the tree is 35 . How wide is the river?arrow_forwardWhat is the y component of the vector shown in Figure OQ1.9? (a) 3 cm (b) 6 cm (c) 4 cm (d) 6 cm (e) none of those answers Figure OQ1.9 Objective Questions 9 and 10.arrow_forward
- Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a) the component of vector Aalong vector C , (b) the component of vector Calong vector A , (c) the component of vector i along vector F , and (d) the component of vector Falong vector i .arrow_forwardThe polar coordinates of a point are r = 5.50 m and = 240. What are the Cartesian coordinates of this point?arrow_forwardA map in a pirate’s log gives directions to the location of a buried treasure. The starting location is an old oak tree. According to the map, the treasure’s location is found by proceeding 7.45 paces North from the oak tree and then 6.62 paces Northeast. At this location, an iron pin is sunk into the ground. From the iron pin, walk 2.59 paces South and dig. How far (in paces) from the oak tree is the spot at which digging occurs?arrow_forward
- A spelunker is surveying a cave. He follows a passage 210 meters straight east, then 80 meters in a direction 60° North-West, then 150 meters at 45° South-West. After the fourth unmeasured displacement he finds himself back where he started. Use a scale drawing to determine the fourth displacement (magnitude and direction)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_forwardYou found a treasure map! It said, start at the well, go 100 m straight south, then 30 m, 40 degrees North of West, then 25 m straight east, and finally, 45 m, 75 degrees south of east. Using component method of vector addition, how far from the well and in what direction is the hidden treasure?arrow_forward
- University 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 LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning