Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 17PQ
Miguel, an Ultimate Frisbee player, is running three drills (Fig. P3.17). In the first drill. Miguel runs a distance d straight down the field and then makes a 90° turn to the right, running an additional distance d. In the second drill, Miguel runs a distance d straight down the field and makes a 95° turn to the right before running an additional distance d. In the final drill, Miguel runs a distance d straight down the field and makes an 85° turn to the right before running an additional distance d.
- a. In which case did Miguel end up farthest from his starting point? In which case did he end up closest to his starting point?
- b. In which case(s) does Miguel end up farther away from his starting point than distance d?
- c. At what angle will his distance away be exactly d?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A commuter airplane starts from an airport and takes the route shown in Figure P3.17. The plane first flies to city A, located 175 km away in a direction 30.0° north of east. Next, it flies for 150
km 20.0° west of north to city B. Finally, the plane flies 190 km due west, to city C. Find the location of city C relative to the location of the starting point.
distance
km
angle
o west of north
y(km)
250 E
B
W
E
200
20.0°
b
R
150
00
110°
a
S0.0
x (km)
50 100 150 200
Figure P3.17
Vector
6.
A diver explores a shallow reef off the coast of Belize. She initially swims d1 = 82.7 m north, makes a turn to the east and continues for d2 = 184.5 m, then follows a big grouper (a kind of fish) for d3 = 83.7 m in the direction θ = 42.2° north of east. Finally, she swims d4 = 185.1 m south.
1) What is the straight line distance between her initial and final positions in m?
2) Suppose she wants to swim back to her initial position in a straight line, in what direction should she swim? Express your answer as an angle in degrees north of west.
Chapter 3 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 3.1 - The three vectors A,B and C in Figure 3.7 all have...Ch. 3.1 - Prob. 3.2CECh. 3.1 - a. You wish to represent free-fall acceleration...Ch. 3.2 - Prob. 3.4CECh. 3.3 - Prob. 3.5CECh. 3 - A velocity vector has a magnitude of 720 m/s. Two...Ch. 3 - A young boy throws a baseball through a window. a....Ch. 3 - Prob. 3PQCh. 3 - Prob. 4PQCh. 3 - Vector A, with a magnitude of 18 units, points in...
Ch. 3 - Prob. 6PQCh. 3 - Prob. 7PQCh. 3 - The layout of the town of Popperville is a...Ch. 3 - Prob. 9PQCh. 3 - Prob. 10PQCh. 3 - Prob. 11PQCh. 3 - Prob. 12PQCh. 3 - In Chapter 5, you will study a very important...Ch. 3 - Refer to the situation described in Problem 14....Ch. 3 - Vector A has a magnitude of 4.50 m and makes an...Ch. 3 - Miguel, an Ultimate Frisbee player, is running...Ch. 3 - A baseball diamond consists of four plates...Ch. 3 - Prob. 19PQCh. 3 - Prob. 20PQCh. 3 - Two aircraft approaching an aircraft carrier are...Ch. 3 - Prob. 22PQCh. 3 - A truck driver delivering office supplies downtown...Ch. 3 - Prob. 24PQCh. 3 - Carolyn rides her bike 40.0 south of west for 5.40...Ch. 3 - Prob. 26PQCh. 3 - Prob. 27PQCh. 3 - Prob. 28PQCh. 3 - Prob. 29PQCh. 3 - Prob. 30PQCh. 3 - Prob. 31PQCh. 3 - Prob. 32PQCh. 3 - Prob. 33PQCh. 3 - Prob. 34PQCh. 3 - A firecracker explodes into four equal pieces...Ch. 3 - Prob. 36PQCh. 3 - Prob. 37PQCh. 3 - Prob. 38PQCh. 3 - Prob. 39PQCh. 3 - Figure P3.40 shows a map of Grand Canyon National...Ch. 3 - Prob. 41PQCh. 3 - The same vectors that are shown in Figure P3.6 are...Ch. 3 - A supertanker begins in Homer, Alaska, sails 125...Ch. 3 - A Three vectors are shown in Figure P3.44, but...Ch. 3 - A vector A=(5.20i3.70j) m and a vector...Ch. 3 - Prob. 46PQCh. 3 - Prob. 47PQCh. 3 - Prob. 48PQCh. 3 - An airplane leaves city A and flies a distance d1...Ch. 3 - An aircraft undergoes two displacements. If the...Ch. 3 - The resultant vector R=2AB2C has zero magnitude....Ch. 3 - A Three vectors all have the same magnitude. The...Ch. 3 - The two-dimensional vectors A and B both have...Ch. 3 - Prob. 54PQCh. 3 - Two birds begin next to each other and then fly...Ch. 3 - Prob. 56PQCh. 3 - General Problems 57. G A spider undergoes the...Ch. 3 - Peter throws a baseball through a houses window....Ch. 3 - Prob. 59PQCh. 3 - Prob. 60PQCh. 3 - Prob. 61PQCh. 3 - A glider aircraft initially traveling due west at...Ch. 3 - What are the magnitude and direction of a vector...Ch. 3 - Prob. 64PQCh. 3 - Prob. 65PQCh. 3 - Prob. 66PQCh. 3 - Prob. 67PQCh. 3 - Prob. 68PQCh. 3 - Prob. 69PQCh. 3 - Prob. 70PQCh. 3 - Vector F is proportional to vector A such that...Ch. 3 - Prob. 72PQCh. 3 - Prob. 73PQCh. 3 - Problems 74 and 75 are paired. 74. N A classroom...Ch. 3 - Prob. 75PQ
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A hiker walks from (x1, y1) = (4.00 km. 3.00 km) to (x2, y2) = (3.00 km, 6.00 km), (a) What distance has the traveled? (b) The hiker desires to return to his starting point. In what direction should he go? (Give the angle with respect to due cast.) (See Sections 3.2 and 3.3.)arrow_forwardA vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.arrow_forwardA novice golfer in the green takes three strokes to dunk the ball. The successful displacement of the balls are d1=4.04m to the north, d2=1.96 m northeast, and d3=1.16m at 30.0° west of south. Starting at the initial point, an expert golfer could make this hole in what single displacement. Find the magnitude and direction north of east.arrow_forward
- A flagpole sits at the center of a playground. Initially, a child is located 5.00 m due north of the flagpole. Two minutes later, the child is 9.00 m away from the flagpole in the direction 40.0° south of east. Using the flagpole as the origin, let +x point due east and +y point due north. What is the x-component of the child's initial position?arrow_forwardA rectangular parallelepiped has dimensions a, b, and c as shown in Figure P3.45. (a) Obtain a vector expression for the face diagonal vector R,. (b) What is the magnitude of this vector? (c) Notice that R, ck, and R, make a right triangle. Obtain a vector expression for the body diagonal vector R2. b Ro R1 Figure P3.45arrow_forwardOne day, Sofia goes hiking at a nearby nature preserve. At first, she follows the straight, clearly marked trails. From the trailhead, she travels 2.00 miles down the first trail. Then, she turns 30.0° to the left to follow a second trail for 1.60 miles. Next, she turns 160.0° to her right to follow a third trail for 1.70 miles. At this point, Sofia is getting very tired and would like to get back as quickly as possible, but all of the available trails seem to lead her deeper into the woods. She would like to take a shortcut directly through the woods (ignoring the trails). What distance dsc does she have to walk to take a shortcut directly back to her starting point? Through what angle Osc should she turn to the right in order to take the shortcut directly back to her starting point? dsc= 0sc = milesarrow_forward
- a.) Vector A has a magnitude of 6.0 m and points 30° north of east. Vector B⃗ has a magnitude of 4.0 m and points 30° east of north. What is the magnitude of the sum, A +B? b.) What is the direction of the sum A +B, measured counterclockwise from east?arrow_forwardA flagpole sits at the center of a playground. Initially, a child is located 8.50 m due north of the flagpole. Two minutes later, the child is 6.00 m away from the flagpole in the direction 37.0° south of east. The displacement of the child lies between which two cardinal directions? O South and west O North and east O North and west O South and eastarrow_forwardIma Genius is walking from physics to math class. She exits the physics lab and walks 72 meters NW. She stops at a drinking fountain, then continues walking NW for another 67 meters. What is the magnitude and direction of Ima's displacement? (It may help to draw the vectors.) Ima's displacement is: Ax unit %3D Direction:arrow_forward
- A ship captain is sailing through the Pacific Ocean. He started from a harbor in Hawaii and travelled 100 km, 50 degrees W of S. Then he did a 90-deg clockwise turn and then moved 50 km further. After that, the ship captain steered the ship by 90 degrees counterclockwise and then moved by 20 km. Let these vectors to be named as A (red vector), B (blue vector), C (orange vector). 1. Find the magnitude of the resultant vector. 2. Find the angle of the resultant vector relative to y axis. 3. Find the x and y components of A.arrow_forwardA traveler is exploring an unfamiliar cave in the Northern Luzon. She follows a passage 180 m straight west, then 210 m in a direction 45° east of south, and then 280 m at 30° east of north. After a fourth unmeasured displacement, she finds herself back where she started. Draw the diagram following her path, then solve for the magnitude and direction of the fourth displacement. You may also try drawing a scale diagram of the given vectors using your ruler and protractor, then measure the fourth displacement to check your quantitative answer.arrow_forward5.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Introduction to Vectors and Their Operations; Author: Professor Dave Explains;https://www.youtube.com/watch?v=KBSCMTYaH1s;License: Standard YouTube License, CC-BY