The Displacement Vectors Welcome to Biophysics semestral treasure hunting! Applying your knowledge in vectors, follow thedirections and you might get to the treasure.Helpful tip: Create your map by illustrating the vectors below:1. A = 9.4 meters, 32° North of East2. B = 8 meters, North3. C = 5.8 meters, 59° West of North%3D4. D = 4 meters, North5. E= 13.9 meters, 21° South of East6. F= 5.7 meters, 45° North of East7. G = 16.5 meters, 14° South of EastUh-oh! That's a lot of steps! If you want to get to the treasure first, you need to find a short cut! Findthe resultant vector. Resultant vector is the sum or result ofall the vectorsether.Draw the vectors above using the application: https://phet.colorado.edu/sims/html/vector-addition/latest/vector-addition en.html and take a picture of the map you’ve drawn. This will also helpyou get the resultant vector. You’ll need to determine its magnitude and direction.Happy treasure hunting! DataTable 1. The Displacement VectorsDisplacement VectorAMagnitudeDirection, 0ВCD'EFG'For the direction, 0, use East as the reference, moving counterclockwise. Show solution here.Table 2. Components of the Displacement VectorsDisplacement VectorAX-componenty-componentBDEFMake sure that the correct sign of components is observed. Solution complete solution here.

Welcome to Biophysics semestral treasure hunting! Applying your knowledge in vectors, follow the directions and you might get to the treasure. Helpful tip: Create your map by illustrating the vectors below: 1. A = 9.4 meters, 32° North of East 2. В = 8 meters, North 3. C = 5.8 meters, 59° West of North 4. D 5. E 4 meters, North = 13.9 meters, 21° South of East 6. F = 5.7 meters, 45° North of East %3D 7. G= 16.5 meters, 14° South of East Uh-oh! That's a lot of steps! If you want to get to the treasure first, you need to find a short cut! Find the resultant vector. Resultant vector is the sum or result of adding all the vectors together.

Welcome to Biophysics semestral treasure hunting! Applying your knowledge in vectors, follow the directions and you might get to the treasure. Helpful tip: Create your map by illustrating the vectors below: 1. A = 9.4 meters, 32° North of East 2. В = 8 meters, North 3. C = 5.8 meters, 59° West of North 4. D 5. E 4 meters, North = 13.9 meters, 21° South of East 6. F = 5.7 meters, 45° North of East %3D 7. G= 16.5 meters, 14° South of East Uh-oh! That's a lot of steps! If you want to get to the treasure first, you need to find a short cut! Find the resultant vector. Resultant vector is the sum or result of adding all the vectors together.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 33P: A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following...

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A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following figure. Use a graphical method (the parallelogram rule) to determine the trapper’s displacement directly to the east and displacement directly to the north that sum up to his resultant displacement vector. If the trapper walked only in directions east and north, zigzagging his way to the lake, how many kilometers would he have to walk to get to the lake?
A trapper walks a 5.0-lan straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector?
A roller-coaster car moves 200 ft horizontally and then rises 135 ft at an angle of 30.0 above the horizontal. It next travels 135 ft at an angle of 40.0 downward. What is its displacement from its starting point? Use graphical techniques.
An adventurous dog strays from home, runs three blocks east, two blocks north, and one block east, one block north, and two blocks west. Assuming that each block Is about a 100 yd, use the analytical method to find the dog’s net displacement vector, its magnitude, and Its direction. Assume the +x-axis is to the east. How would your answer be affected if each block was about 100 m?
Check your Understanding A blue fly lands on a sheet of graph paper a point located 10.0 cm to the right of its left edge and 8.0 cm above its bottom edge and walks slowly to a point located 5.0 cm from the left edge and 5.0 cm from the bottom edge. Choose the rectangular coordinate system with the origin at the lower left-side comet of the paper and find the displacement vector of the fly. Illustrate your solution by graphing.
The following figure shows a triangle formed by the three vectors A , B , and C . If vector C is drawn between the midpoints of vectors A and B , show that C=C/2
A small plane flies 40.0 km ma direction 60 north of east and then flies 30.0 km in a direction 15 north of east. Use the analytical method to find the total distance the plane covers from the starting point, and the geographic direction of its displacement vector. What is its displacement vector?
The layout of the town of Popperville is a perfectly square grid, with blocks 100 feet long (Fig. P3.8). A cat leaves her house and travels to Mike Mulligans place 4 blocks west and 3 blocks north of its starting point. After lapping up the milk that Mike always leaves out, the cat travels an additional 1 block north and 3 blocks east to Mrs. McGillicuttys house. a. On your paper, carefully copy the grid of streets that contains the cats house, Mike Mulligans house, and Mrs. McGillicuttys house. Then draw and label three displacement vectors on your sketch: r1, the cats displacement from her house to Mike Mulligans; r2, the cats displacement from Mike Mulligans to Mrs. McGillicuttys; and rtot, the cats total displacement. b. Write an equation to relate the three displacement vectors you have drawn. c. Is the distance the cat traveled greater than, less than, or equal to the magnitude of the cats total displacement vector? Explain. FIGURE P3.8
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 .
between points in a plane do not change when a coordinate system is rotated In other words, the magnitude of a vector Is invariant under rotations of the coordinate system. Suppose a coordinate system S is rotated about its origin by angle to become a new coordinate system S’, as shown in the following figure. A point in a plane has coordinates (x,y)in S and coordinates (x,y) in S’. (a) Show that, during the transformation of rotation, the coordinates in S are expressed in terms of the coordinates in S by the following relations: {x=xcos+ysiny=xsin+ycos (b) Show that the distance of point Pto the origin is invariant under rotations of the coordinate system. Here, you have to show that x2+y2=x2+y2. (c) Show that the distance between points Pand Q is invariant under rotations of the coordinate system. Here, you have to show that ( xP =xQ )2+( yP yQ )2=( xP =xQ )2+( yP yQ )2 .
A map suggests that Atlanta is 730 miles in a direction of 5.00 north of cast from Dallas. The same map slum's that Chicago is 560 miles in a direction of 21.0 west of north from Atlanta. Figure P3.24 shows the locations of these three cities. Modeling the Earth as flat, use this information to find the displacement from Dallas 10 Chicago.
You 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?