13) While hiking, you travel 5.0 miles south (vector A), 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 D 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.)

13) While hiking, you travel 5.0 miles south (vector A), 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 D 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.)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

. Consider this time three vectors pointing at different directions. The first vector has a length or 95.4 cm directed at an angle of 60°. The second vector is 27.8 cm long and has an angle of 225'. Lastly, the third vector has a length of 48.1 cm directed at an angle of 315°. Determine the following: d. Illustration of the vectors and the resultant vector e. Vector sum of the three vectors メ f.. Resultant vector components と g. Resultant vector angle
2D Component Analysis For Vector Addition 2. Perform the following vector operations using component analysis. Recombine the components of the resultant to express the resultant vector in magnitude and direction form. Use the x/y coordinate axes below for your analysis. a) Ad, = 85.0 km [N36.0°W], N, +y Ad2 = 122.0 km [W15.0°S], %3D Adg = Ad, + Adz = ? %3D E, +x Ad, = 370.0 m [S18.0°W], Adr = ad, + Ad, + Ad, = ? b) Ad, = 250.0 m [E], Ad, = 560.0 m [E35.0°S], %3D
The two vectors A and B have the same magnitude are shown in the figure. In which case (or cases) vector A is not equal to vector B?
2. Vector Vi is 6.6 cm long and points along the negative x axis. Vector is 8.5 cm long and points at to the positive x axis. Determine the sum (magnitude and angle). 3. Vi is a vector 30m in magnitude and points at an angle of 23.4° above the negative x axis. V, is a vector 50m in magnitude and points 49° below the -x aYis Yira yont
9) Consider vector A = (7, 5) and vector B = (−3, −4). a) What is the direction and magnitude of vector A? b) What is the direction and magnitude of vector B? c) What is the direction and magnitude of vector C = A + B?
Q3.The rectangle shown in Figure has sides parallel tothe x and y axes. The position vectors of two corners are A = 10.0 m at 50.0° and B = 12.0 m at 30.0°. (a) Find theperimeter of the rectangle. (b) Find the magnitude and direction of the vector from the origin to the upper rightcorner of the rectangle. B
For the following vectors A= 50 units at 60 degrees from x-axis and vector B= 200 units at 40 west of south. a) Make a sketch of the two position vectors. b) Find the magnitude and the direction of the resultant vector A+B
· Ax= Part II: Vectors À (Ax,y) -(b₁₁by) = A + B = ((x,y) Cx = Ax+Bx = Ay+By 1. A vector A has a magnitude of 10.0 m and points in a direction that makes an angle of 30.0° above the positive x-axis. A second vector B, has a magnitude of 15.0 m and points in a direction 60.0" below the negative x-axis. a) Draw the two vectors and their components. Al cos 30°: 8.66m Ay = 141 sing05m Bx=-181 (05600-7.5m By=-161i0-12m Ax if @ & IAI given A=(Ax, Ag) if given Ax A IATA A Ay tong = 10m A 230° 60° x Ax = Al-case A: AI-sine 15m B b) Find the magnitude of the vector's components. COS300 A 10m (10m) cos 30° 8.66 - A A sin 500= 0 10 m (10m) Sin (30) = 0 S 0 Sin 60° 15m (15m) sin (60°) O -12.99m-0 C0160°= 4. (15m) Cos(60) A -7.5=A Ax = 8.66m Ay = 5.0m By = -7.5m By= -133
need assistance with this problem a-c
*30. mmh Vector A has a magnitude of 12.3 units and points due west. Vector B points due north. (a) What is the magnitude of B if Ā + B has a magnitude of 15.0 units? (b) What is the direction of A + B relative to due west? (c) What is the magnitude of B if A – B has a magnitude of 15.0 units? (d) What is the direction of Ã – B relative to due west?
In the simulation, the length and orientation of the blue and yellow vectors can be changed by dragging the tips of the vectors. Given the limits available in the simulation, find the follwing: a) the largest possible length of the resultant (red) vector b) the smallest possible length of the resultant (red) vector Now set the length of the blue vector to 4.00 and the length of the yellow vector to 5.00. c) What is the largest possible length of the resultant (red) vector now? d) What is the smallest possible length of the resultant (red) vector now?