3. A hiker walks 1.5 km at an angle of 48 degrees north of east 7, and then hikes 3.0 km at an angle of 30 degrees north of west . What is the displacement of the hiker from the origin (magnitude and direction)? Determine the magnitude and direction by adding the vectors graphically and mathematically. Be sure to attach your graph. Magnitude (from graph): Direction (from graph): Magnitude (mathematical): Direction (mathematical):

3. A hiker walks 1.5 km at an angle of 48 degrees north of east 7, and then hikes 3.0 km at an angle of 30 degrees north of west . What is the displacement of the hiker from the origin (magnitude and direction)? Determine the magnitude and direction by adding the vectors graphically and mathematically. Be sure to attach your graph. Magnitude (from graph): Direction (from graph): Magnitude (mathematical): Direction (mathematical):

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Description: 3. A hiker walks 1.5 km at an angle of 48 degrees north of east 7, and then hikes 3.0 km at anangle of 30 degrees north of west . What is the displacement of the hiker from the origin(magnitude and direction)? Determine the magnitude and direction b

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 9P: A man in a maze makes three consecutive displacements. His first displacement is 8.00 m westward,...

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Figure P3.60 illustrates the difference in proportions between the male (m) and female (f) anatomies. The displacements d1m. and d1f from the bottom of the feet to the navel have magnitudes of 104 cm and 84.0 cm, respectively. The displacements d2m and d2f have magnitudes of 50.0 cm and 43.0 cm, respectively. (a) Find the vector sum of the displacements dd1 and dd2 in each case. (b) The male figure is 180 cm tall, the female 168 cm. Normalize the displacements of each figure to a common height of 200 cm and re-form the vector sums as in part (a). Then find the vector difference between the two sums. Figure P3.60
Carolyn rides her bike 40.0 south of west for 5.40 miles as illustrated in Figure P3.25. What is the distance she would have to ride due south and due west to reach the same location?
A man in a maze makes three consecutive displacements. His first displacement is 8.00 m westward, and the second is 13.0 m northward. At the end of his third displacement he is back to where he started. Use the graphical method to find the magnitude and direction of his third displacement.
You fly 32.0 km in a straight line in still air in the direction 35.0 south of west. (a) Find the distances you would have to fly due south and then due west to arrive at the same point. (b) Find the distances you would have to fly first in a direction 45.0south of west and then in a direction 45.0 west of north. Note these are the components of the displacement along a different set of axes-namely, the one rotated by 45 with respect to the axes in (a).
(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 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
Ecotourists use their global positioning system indicator to determine their location inside a botanical garden as latitude 0.002 43 degree south of the equator, longitude 75.642 38 degrees west. They wish to visit a tree at latitude 0.001 62 degree north, longitude 75.644 26 degrees west. (a) Determine the straight-line distance and the direction in which they can walk to reach the tree as follows. First model the Earth as a sphere of radius 6.37 106 m to determine the westward and northward displacement components required, in meters. Then model the Earth as a flat surface to complete the calculation. (b) Explain why it is possible to use these two geometrical models together to solve the problem.
Suppose you add two vectors A and B. What relative direction between them produces the resultant with the greatest magnitude? What is the maximum magnitude? What relative direction them produces the resultant with the smallest magnitude? What is the minimum magnitude?
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?)
An aircraft undergoes two displacements. If the first displacement is directed at an angle of 225 with the positive x axis and has magnitude 30.0 miles, and if the resultant displacement is directed at an angle of 75.0 with the positive x axis and magnitude 22.0 miles, what are the magnitude and direction of the second displacement?
Vector A has a magnitude of 4.50 m and makes an angle of 64.0 with the positive x axis. Vector B, with a magnitude equal to that of vector A, points along the negative y axis (Fig. P3.16). Graphically find the magnitude and direction of the resultant vector a. A+B, b. AB, c. BA, and d. 2AB.
A commuter airplane starts from ar. airport and takes the route shown in Figure P3.19. The plane first flies to city A, located 175 km away in a direction 30.0 north of east. Next, it flies for 150 km 20.0 west of north, to city B. Finally, the plane flies 190 km due west, to city C. Find the location of city C relative to the location of the starling point. Figure P3.19