A map suggests that Atlanta is 730 miles in a direction 5.00 north of east from Dallas. The same map shows that Chicago is 560 miles in a direction 21.0 west of north from Atlanta. The figure below shows the location of these three cities. Modeling the Earth as flat, une this information to find the displacement from Dalas to Chicago. magnitude mi direction north of east of Dallas Chigo 560 m 750 m Ada Dalles Need Help?
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- 13) While hiking, you travel 5.0 miles south (vector Ā), then turn and travel 4.0 miles at an angle of 30 degrees north of east (B). a) Sketch a diagram of these two displacement vectors, roughly to scale. Assume the positive x-axis is in the east direction, and the positive y-axis is in the north direction. b) You now wish to return to where you started. Determine the magnitude and direction of the displacement vector Ď you must follow. Use the method of components. As always, show all the details of your work. (Show vector D in the diagram above.) (Use clear, standard notation; show all details of your work. See PSL 3.4-5.)In a 2-dimensional Cartesian system, the x-component of a vector is known, and the angle between vector and x-axis is known. Which operation is used to calculate the magnitude of the vector? (taken with respect to the x-component) a. dividing by cosine b. dividing by sine c. multiplying by cosine d. multiplying by sine(Figure 1) shows vectors A and B. For help with math skills, you may want to review: Vector Addition Figure + 15° 2.0 m 15° 4.0 m X B 1 of 1 Part A Find D = 4.30 A + B. Express components of D in meters and separated by a comma. ► View Available Hint(s) Dx, Dy= Submit Provide Feedback VE ΑΣΦ ? m, m
- Needs Complete typed solution with 100 % accuracy.4. Suppose you leave you house, hike 2.0 mi due east, then 3.0 mi due north, and then 6.0 miles 30 north of west to your favorite tree. Find the total displacement, magnitude and direction, from your house to the tree. 6 mi 30° 2m² 3 miA plane flies in two straight-line segments. On the first segment it flies 250 km at an angle of 30 south of west. Then it flies 125 km at an angle of 20 east of south on the second segment. Find the magnitude and direction of the resulting (overall) displacement of the plane by graphically drawing the displacement vectors and by calculating the resultant using components
- IPA child rides a pony on a circular track whose radius is 5.9 m Part A Find the distance traveled after the child has gone halfway around the track. Express your answer using three significant figures. m Submit Request Answer Part B Find the displacement after the child has gone halfway around the track. Express your answer using three significant figures. Πνα ΑΣφ ? Az = m Submit Request AnswerA vector has the components A, = 28 m and A, = 11 m. Part A What is the magnitude of this vector? Express your answer to two significant figures and include appropriate units. HÀ Value Units Submit Request Answer Part B What angle does this vector make with the positive a axis? Express your answer to two significant figures and include appropriate units. HA ? Value Units Submit Request AnswerPlease solve correctly. Thank you!!
- The pilot of a private plane flies 20.0 km in direction 60° north of east, then 30.0 km straight east, then 10.0 km straight north. How far and in what direction is the plane from the starting point? Show the Figure/FBD, given, formula and scale drawing usedWrite only the letter of the correct answer. From her house, Miya walks 30 m at E30°N. She then turns 50° on a clockwise direction and continues walking for 40m. She turned again at an angle of 80° clockwise and walked 60m. From her final position, if there is a way that Miya can walk straight to her house, how far will she walk? a) 70.85m b) 75.80m c) 78.50m d) 85.50m Your answerWhat is the displacement and direction of the resultant vector if a soccer player runs 55.0m at an angle of N27 degrees West, and then runs 23.0m at an angle of S5 degrees West from her new location? Draw a diagram, please!