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- (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 pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m). (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P3.46. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure P3.46Carolyn 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?
- 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?)A hiker starts at his camp and moves the following distances while exploring his surroundings: 75.0 m north, 2.50 102 m east, 125 m at an angle 30.0 north of east, and 1.50 102 m south. (a) Find his resultant displacement from camp. (Take east as the positive x-direction and north as the positive y-direction.) (b) Would changes in the order in which the hiker makes the given displacements alter his final position? Explain.Ranjeet parks his car in a lot on the corner of Park Lane and Main Street. He walks80 m east to First Avenue, turns 30° to the left, and follows First Avenue for 100 m tothe Metro Building, where he takes the elevator to his office on the 15th floor. Eachfloor in the building is 4 m in height. From his office window, Ranjeet can see his carin the lot. How far is Ranjeet from his car, in a straight line? At what angle ofdepression is Ranjeet looking to see his car?
- Hi please help, I am not sure how to solve this problem. If you are walking 400m east but then decide to turn back and walk 700m west, all within 10 minutes, what is the total distance that you covered and what is the displacement relative to where you started? Assume that east is the positive direction1) A projectile is fired in such a way that its horizontal range is equal to 2.5 times its maximum height. What is the angle of projection? 2) To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of 290 m/s at 54.0° above the horizontal. It explodes on the mountainside 35.0 s after firing. What are the x and y coordinates of the shell where it explodes, relative to its firing point?Ranjeet parks his car in a lot on the corner of Park Lane and Main Street. He walks 80 m east to First Avenue, turn 30 degrees to the left, and follows First Avenue for 100 m to the Metro Building, where he takes the elevator to hisoffice on the 15th floor. Each floor in the buildingis 4m in height. From his office window, Ranjeet can see his car in thelot. How far is Ranjeet from his car in a direct line?
- A runner first runs a displacement A of 3.30 km due south, and then a second displacement B that points due east. The magnitude of the resultant displacement A + B is 5.27 km. What is the magnitude (in m) of B? What is the angle that A + B makes relative to due south? (Your answer must be a positive number from 0 to 180 degrees).Problem 1:A man sailing a boat follows the directions to a dock. The instructions stated that he hasto sail 25.0 m in a direction 60º E of N from his starting location, and then sail additional35.0 m in a direction 50º E of S. How far will he be from his starting point?Problem 2:Suppose a pilot flies 15.0 km in a direction 60º N of E and then flies 30.0 km in a direction15º N of E. Find the total distance R from the starting point and the direction θ of thestraight-line path to the final position.dsOne morning, Cosdnnie walks from her house to go to a store that is 500 ft, S 40o W from her hdouse. She starts walking 120 ft, SW; then continues walking 100 ft, 10o S of E; then sees a friend who is 700 ft, 30o N of E from where she isdasd. From her friend’s location, how far ansd in what direction should Connie waldk to finally get to the store? (Ans. 1133.08 ft, 33.83o S of W)show complete solution and diagram