1.A river is flowing from west to east at a speed of 5 metre per minute. A man on the south bank of the river, capable of swimming at 10 metre per minute in still water, wants to swim across the river in the shortest time. He should swim in a direction. a) due north b) 30° east of north c) 30° west of north d) 60° east of north

1.A river is flowing from west to east at a speed of 5 metre per minute. A man on the south bank of the river, capable of swimming at 10 metre per minute in still water, wants to swim across the river in the shortest time. He should swim in a direction. a) due north b) 30° east of north c) 30° west of north d) 60° east of north

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter3: Two-dimensional Kinematics

Section: Chapter Questions

Problem 19PE: Do Exercise 3.16 again using analytical techniques and change the second leg of the walk to 25.0 m...

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Do Exercise 3.16 again using analytical techniques and change the second leg of the walk to 25.0 m straight south. (This is equivalent to subtracting B from A —that is, finding R=AB ) (b) Repeat again, but now you first walk 25.0 m north and then 18.0 m east. (This is equivalent to subtract A from B —that is, to find A=B+C. Is that consistent with your result?)
A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m). (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P3.46. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure P3.46
A map suggests that Atlanta is 730 miles in a direction 5.00c north of east from Dallas. The same map shows that Chicago is 560 miles in a direction 21.0 west of north from Atlanta. Figure P3.18 shows the location of these three cities. Modeling the Earth as flat, use this information to find the displacement from Dallas to Chicago. Figure P3.18
15. A ship bearing N 30-degrees W moves 3 hours at 17 miles per hour. It then turns 50 degrees starboard (to the right) to continue for 4 hours at 21 miles per hour. Finally the ship turns to a bearing of S 20-degrees E and travels for 1 hour at 12 miles per hour. Where is the ship's final location relative to its start?
Problem 1:A man sailing a boat follows the directions to a dock. The instructions stated that he hasto sail 25.0 m in a direction 60º E of N from his starting location, and then sail additional35.0 m in a direction 50º E of S. How far will he be from his starting point?Problem 2:Suppose a pilot flies 15.0 km in a direction 60º N of E and then flies 30.0 km in a direction15º N of E. Find the total distance R from the starting point and the direction θ of thestraight-line path to the final position.
3. A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by a wind blowing from the west at 14 m/sm/s . A wise elder duck finally realizes that the solution is to fly at an angle to the wind. If the ducks can fly at 15 m/s relative to the air, in what direction should they head in order to move directly south? Please answer in degrees west of south
9 A small plane flies at 294 km/h in still air. If the wind blows directly out of the west at 27.7 km/h, how long does it take her to reach a point 466.1 km directly north of her starting point? Answer upto 2 dp
An archaeologist is surveying a cave. She follows a passage 150 m west, then 110 m southeast, and then 185 m 30 deg east of north. After a fourth unmeasured displacement, she finds herself back where she started. What is the magnitude and direction of this unmeasured displacement?
A sailor in a small sailboat encounters shifting winds. She sails 8.00 km south, then 15 km 30deg E of N, and then 12km 25deg N of W. Use polygon method to determine magnitude and direction of her resultant displacement.
3.37 Canada geese migrate essentially along a north-south direction for well over a thousand kilometers in some cases, traveling at speeds up to about 100 km/hkm/h. The one goose is flying at 100 km/hkm/h relative to the air but a 42 km/hkm/h wind is blowing from west to east. 1. At what angle relative to the north-south direction should this bird head to travel directly southward relative to the ground? Express your answer using three significant figures. 2. How long will it take the goose to cover a ground distance of 550 kmkm from north to south? (Note: Even on cloudy nights, many birds can navigate using the earth's magnetic field to fix the north-south direction.) Express your answer using three significant figures.