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- An adventurous dog strays from home, runs three blocks east, two blocks north, one block east, two block north, and two blocks west. Assuming that each block is about 100 m, how far from home and in what direction is the dog? Use a graphical method.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?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 small plane flies 40.0 km in a direction 60 north of east and then files 30.0 km in a direction 15 north of east. Use a graphical method to find the total distance the plane covers from the starting point and the direction of the path to the final position.Find the horizontal and vertical components of the 102–m displacement of a superhero who flies from the top of a tall building following the path shown in the figure below. (Assume ? = 31.0° and indicate the direction with the sign of your answer.) horizontal displacement vertical displacementIn Problem ,use the vectors in the figure at the right to graph each of the following vectors. 4w
- can the diagram be clearly labelled with where B corresponds to (vector)?Solve the following problem using analytical techniques:Suppose you walk 18.0 m straight west and then 25.0 mstraight north. How far are you from your starting point, andwhat is the compass direction of a line connecting yourstarting point to your final position? (If you represent the twolegs of the walk as vector displacements A and B , then this problem asks you to find their sumR = A + B .)Note that you can also solve this graphically. Discuss why theanalytical technique for solving this problem is potentiallymore accurate than the graphical techniqueYou first walk 10 meters at an angle of 30 degrees East of North. Then,you walk 15 meters at an angle of 45 degrees South of East. Assume that East is +x and North is+y, and assume you started at the origin (0,0). A. Make a graph with x- and y-axes and draw your path on that graph (to scale, or at least asclose as you can get). Start the first vector at the origin, and the second vector at the tip ofthe first vector. Then, draw the resultant vector (their sum). B. Break each part of the walk into their x- and y-components and then sum them to get thex- and y-components of the resultant vector. Make sure to include units and unit vectors. C. What is your displacement from where you originally started? D. If the whole walk took 40 seconds, then what was your average velocity