CIA and NSA launched a hiring program to new agents: to crack the safehouse of the nuclear launch codes. They were given hacking tools and random displacement as a starting point. Agent 1 is directed to 70m, 254; Agent 2 is directed to 93m, 130 and Agent 3 to 63m due south. The three displacements lead to the point in the field where the key to the nuclear launch codes of the United States is kept. Two agents did not use their noggin’ and started measuring immediately, but the winner of the code first calculated where to go. What was the calculated resultant of the winner? Add solution.

CIA and NSA launched a hiring program to new agents: to crack the safehouse of the nuclear launch codes. They were given hacking tools and random displacement as a starting point. Agent 1 is directed to 70m, 254; Agent 2 is directed to 93m, 130 and Agent 3 to 63m due south. The three displacements lead to the point in the field where the key to the nuclear launch codes of the United States is kept. Two agents did not use their noggin’ and started measuring immediately, but the winner of the code first calculated where to go. What was the calculated resultant of the winner? Add solution.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 69P: A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0...

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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 P1.69. 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 1.69
A hiker begins a trip by walking 25 km southwest from the base camp. On the next day she walks 40km in a direction 60 degrees north of east, at which point she discovers a forest rangers' tower. Determine the magnitude and direction of the hiker's resultant displacement using the cosine and sine law.
Most days after lunch, I like to take a stroll around campus ( given it’s not too hot ). Suppose on this day, I walk 4.38 meters 53.50 degrees north-east. If I then walk another 3.24 meters north, how far will I have to walk in a straight line to get back to the physics building where I started?
In the process of delivering mail, a postal worker walks 161 m, due east from his truck. He then turns around and walks 194 m, due west from his truck. What is the worker's displacement relative to his truck?
If Vx = 7.90 units and Vy = -6.20 units, determine (a)the magnitude and (b)direction of V⃗.
Two vectors have length V1=3.5 km and V2= 4.0 km.What are the maximum and minimum magnitudes of theirvector sum?
If d1= 3m, 60 degrees east of north, d2= 4m, 45 degrees SW and d3= 6m, 30 degrees NW, what is the magnitude of the resultant displacement?
In midtown Monrovia, the street blocks have a uniform size of 80m × 20 m, with the shortest side oriented at 29 east of north ( "uptown") and the long side oriented at 29 north of west. Suppose you walk three blocks uptown and then two blocks ti the left. What is the magnitude abd direction of your displacement vector?
A grasshopper makes four jumps. The displacement vectors are (1) 27.0 cm, due west; (2) 23.0 cm, 35o south of west; (3) 28.0 cm, 55o south of east, and (4) 35.0 cm, 63o north of east (5) 18.0 cm, east. Find the magnitude and direction of the resultant displacement. Express the direction of the resultant displacement.
A novice golfer on the green takes three strokes to sink the ball. The successive displacements are 3.9m to the north, 9.4 m 45° north of east, and 9.5m 50° west of south. Starting at the same initial point, an expert could make the hole in a single displacement. What is the magnitude of this single displacement in meters?
Vector 1 is 7 units long and is at 70°. Vector 2 is 5 units long and is at 155°. Vector 3 is 3 units long and is at 225°. Which vector has equal-magnitude components?
An ant, crazed by the Sun on a hot Texas afternoon, darts over an xy plane scratched in the dirt. The x and y components of four consecutive darts are the following, all in centimeters: (35.0, 44.0), (bx, -63.0), (-17.0, cy), (-82.0, -67.0).The overall displacement of the four darts has the xy components (-140, -21.0).What are (a) bx and (b) cy? What are the (c) magnitude and (d) angle (counterclockwise from the positive direction of the x axis) of the overall displacement?