In the sport of orienteering, participants must plan carefully to get from one checkpoint to another in the shortest possible time. In one case, starting at a particular checkpoint, Sam decides to take astraight path that goes west for 500 meters, and then go northeast for 500 meters on another straight path to reach the next checkpoint. Northeast, by the way, means 45 degrees to both north andeast.Between the same two checkpoints, Mary decides to take the shortest distance between the two checkpoints, traveling off the paths through the woods instead.(a) What is the distance that Mary travels between the checkpoints? (Note that Sam travels a total distance of 1000 m, although his speed is probably significantly higher than Mary's.)387.30V m(b) In what direction does Mary go? Specify her direction as a positive angle, measured counterclockwise from east.22.5

Answered: Image /qna-images/answer/ab327caa-8ec8-402a-b85d-f8cc8e51afcd.jpg

Answered: In the sport of orienteering,…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section5.1: Vectors

Problem 3PP

See similar textbooks

Similar questions

In the Death Valley, Nevada, a long stretch of straight road is inclined down about 2.5° with respect to the horizon. What is the change in altitude, if one drives 45 km along the road?
Suppose you first walk 12.5 m in a direction 20° west of north and then 25.5 m in a direction 40° south of west as shown in the figure. What is the component of your displacement in the y-direction, in meters? What is the angle of a line connecting your starting position to your final position, measured South of West, in degrees?
A person walks in the following pattern: 3.1 km north, then 2.4 km west, and finally 5.2 km south. (a) Sketch the vector diagram that represents this motion. (b) How far and (c) in what direction would a bird fly in a straight line from the same starting point to the same final point?
A car travels 90 meters due north in 15 seconds. Then the car turns 32° west of north and travels 40 meters. What is the magnitude and direction of the car's resultant displacement? To answer this problem, what two methods will give us the accurate answer?
I ship sails 10 kilometers 40 degrees north of east. It then turns 100 degrees to the west, giving it a new heading of 40 degrees north of west. After sailing another 10 kilometers, how far is the boat (in kilometers) from where it started?
Foraging bees often move in straight lines away from and toward their hives. Suppose a bee starts at its hive and flies 500 m due east, then flies 400 m west, then 700 m east. How far is the bee from the hive?
A sailboat sets out from one point for a point 90.0 km due north. The sailor, however, ends up 50.0 km due east of the starting point. How far must the sailor now sail to reach the original destination? 406 km O 103 km 305 km 507 km O 204 km
While exploring a cave, a spelunker starts at the entrance and moves the following distances in a hori- zontal plane. She goes 75.0 m north, 250 m east, 125 m at an angle u 5 30.0° north of east, and 150 m south. Find her resultant displacement from the cave entrance. Figure P3.21 suggests the situation but is not drawn to scale.
An engineer designs a roller coaster so that a car travels horizontally for 172 ft, then climbs 147 ft at an angle of 32.0° above the horizontal. It then moves 147 ft at an angle of 48.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) Sig figs Considered.
An engineer designs a roller coaster so that a car travels horizontally for 172 ft, then climbs 147 ft at an angle of 32.0° above the horizontal. It then moves 147 ft at an angle of 48.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude 396.267 ft direction 355.463 ° counterclockwise from the +x-axis
Erica is participating in a road race. The first part of the race is on a 2.6-mile-long straight road oriented at an angle of 25 degrees north of east. The road then turns due north for another 3.0 mimi to the finish line. In miles, what is the straight-line distance from the starting point to the end of the race?
While exploring a cave, a spelunker starts at the entrance and moves the following distances: 100 m east, 300 m south, 150 m at an angle 30˚ south of west, and 200 m 60˚ north of west. What is the displacement (magnitude and direction) from the cave entrance?

SEE MORE QUESTIONS

Recommended textbooks for you

Glencoe Physics: Principles and Problems, Student…

Physics

ISBN:

9780078807213

Author:

Paul W. Zitzewitz

Publisher:

Glencoe/McGraw-Hill