7. You drive around searching for the perfect chew toy for your little dog Snookums. You drive 1000 meters north, then 600 meters south, then 500 meters west and finally 750 meters east to arrive at the pet store that has Snookums favorite toy. What is your displacement from your starting position both magnitude and angle from the positive x axis?

7. You drive around searching for the perfect chew toy for your little dog Snookums. You drive 1000 meters north, then 600 meters south, then 500 meters west and finally 750 meters east to arrive at the pet store that has Snookums favorite toy. What is your displacement from your starting position both magnitude and angle from the positive x axis?

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter3: Vectors And Two-Dimensional Motion

Section: Chapter Questions

Problem 14P: A hiker starts at his camp and moves the following distances while exploring his surroundings: 75.0...

See similar textbooks

Similar questions

A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53
(a) Repeat the problem two problems prior, but for the second leg you walk 20.0 m in a direction 40.0° north of east (which is equivalent to subtracting B from A that is, to finding R=AB ). (b) Repeat the problem two problems prior, but now you first walk 20.0 m in a direction 40.0° south of west and then 12.0 m in a direction 20.0° east of south (which is equivalent to subtracting A from B that is, to finding R=BA=R ). Show that this is the case.
A hiker starts at his camp and moves the following distances while exploring his surroundings: 75.0 m north, 2.50 102 m east, 125 m at an angle 30.0 north of east, and 1.50 102 m south. (a) Find his resultant displacement from camp. (Take east as the positive x-direction and north as the positive y-direction.) (b) Would changes in the order in which the hiker makes the given displacements alter his final position? Explain.
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
Review. The biggest stuffed animal in the world is a snake 420 m long, constructed by Norwegian children. Suppose the snake is laid out in a park as shown in Figure P3.39, forming two straight sides of a 105 angle, with one side 240 m long. Olaf and Inge run a race they invent. Inge runs directly from the tail of the snake to its head, and Olaf starts from the same place at the same moment but runs along the snake. (a) If both children run steadily at 12.0 km/h. Inge reaches the head of the snake how much earlier than Olaf? (b) If Inge runs the race again at a constant speed of 12.0 km/h. at what constant speed must Olaf run to reach the end of the snake at the same time as Inge? Figure P3.39
A landscape architect is planning an artificial waterfall in a city park. Water flowing at 0.750 m/s leaves the end of a horizontal channel at the top of a vertical wall h = 2.35 m high and falls into a pool (Fig. P3.54). (a) How far from the wall will the water land? Will the space behind the waterfall be wide enough for a pedestrian walkway? (b) To sell her plan to the city council, the architect wants to build a model to standard scale, one-twelfth actual size. How fast should the water flow in the channel in the model? Figure P3.54
A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53
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
Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B as in Figure 3.55, then this problem asks you to find their sum R=A+B .)
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
Ranjeet parks his car in a lot on the corner of Park Lane and Main Street. He walks80 m east to First Avenue, turns 30° to the left, and follows First Avenue for 100 m tothe Metro Building, where he takes the elevator to his office on the 15th floor. Eachfloor in the building is 4 m in height. From his office window, Ranjeet can see his carin the lot. How far is Ranjeet from his car, in a straight line? At what angle ofdepression is Ranjeet looking to see his car?
12. A bus travels 20km north, 15km west and 35km in a direction 40o north of east. Calculate the magnitude and direction of the resultant displacement. 1 The Sum of X components is= 2. The Sum of Y components is= 3. The resultant magnitude is =