University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 3.15DQ
You are on the west bank of a river that is flowing north with a speed of 1.2 m/s. Your swimming speed relative to the water is 1.5 m/s, and the river is 60 m wide. What is your path relative to the earth that allows you to cross the river in the shortest time? Explain your reasoning.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
You encounter a moving walkway that is 81 m long and has a speed of 2.1 m/s relative to the ground.
How long would it take you to cover the 81 m length of the walkway if, once you get on the walkway, you immediately turn around and start walking in the opposite direction with a speed of 1.6 m/s relative to the walkway?
Express your answer using one significant figure.
You are walking around your neighborhood and you see a child on top of a roof of a building kick a soccer ball. The soccer ball is kicked at 50° from the edge of the building with an initial velocity of 10 m/s and lands 20 meters away from the wall of the building. How tall is the building? Hint: look at your givens in the y-direction.
Group of answer choices
A. 20m
B. 24 m
C. 48 m
D. 12 m
The figure shows a swimmer who wants to cross a river, from point A to point B, as shown in the figure. The distance d1 (from A to C) is 200 m, the distance d2 (from C to B) is 150 m, and the speed of vr of the current in the river is 5 km/hr. Suppose that the swimmer's velocity relative to the watermakes an angle of θ= 45 degrees with the line from A to C, as indicated in the figure. Q: To swim directly from A to B, what speed us, relative to the water, should the swimmer have? Express the swimmer's speed numerically in km/hr.
Chapter 3 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 3.1 - In which of these situations would the average...Ch. 3.2 - A sled travels over the crest of a snow-covered...Ch. 3.3 - In Example 3.10, suppose the tranquilizer dart has...Ch. 3.4 - Suppose that the particle in Fig. 3.30 experiences...Ch. 3.5 - Suppose the nose of an airplane is pointed due...Ch. 3 - A simple pendulum (a mass swinging at the end of a...Ch. 3 - Redraw Fig. 3.11a if a is antiparallel to v1. Does...Ch. 3 - A projectile moves in a parabolic path without air...Ch. 3 - A book slides off a horizontal tabletop. As it...Ch. 3 - At the instant that you fire a bullet horizontally...
Ch. 3 - A package falls out of an airplane that is flying...Ch. 3 - Sketch the six graphs of the x- and y-components...Ch. 3 - If a jumping frog can give itself the same initial...Ch. 3 - A projectile is fired upward at an angle above...Ch. 3 - In uniform circular motion, what are the average...Ch. 3 - In uniform circular motion, how does the...Ch. 3 - In uniform circular motion, the acceleration is...Ch. 3 - Raindrops hitting the side windows of a car in...Ch. 3 - In a rainstorm with a strong wind, what determines...Ch. 3 - You are on the west bank of a river that is...Ch. 3 - A stone is thrown into the air at an angle above...Ch. 3 - A squirrel has x- and y-coordinates (1.1 m, 3.4 m)...Ch. 3 - A rhinoceros is at the origin of coordinates at...Ch. 3 - CALC A web page designer creates an animation in...Ch. 3 - CALC The position of a squirrel running in a park...Ch. 3 - A jet plane is flying at a constant altitude. At...Ch. 3 - A dog running in an open field has components of...Ch. 3 - CALC The coordinates of a bird flying in the...Ch. 3 - CALC A remote-controlled car is moving in a vacant...Ch. 3 - A physics book slides off a horizontal tabletop...Ch. 3 - A daring 510-N swimmer dives off a cliff with a...Ch. 3 - Crickets Chirpy and Milada jump from the top of a...Ch. 3 - A rookie quarterback throws a football with an...Ch. 3 - Leaping the River I. During a storm, a car...Ch. 3 - BIO The Champion Jumper of the Insect World. The...Ch. 3 - Inside a starship at rest on the earth, a ball...Ch. 3 - On level ground a shell is fired with an initial...Ch. 3 - A major leaguer hits a baseball so that it leaves...Ch. 3 - A shot putter releases the shot some distance...Ch. 3 - Win the Prize. In a carnival booth, you can win a...Ch. 3 - Firemen use a high-pressure hose to shoot a stream...Ch. 3 - A man stands on the roof of a 15.0-m-tall building...Ch. 3 - A 124-kg balloon carrying a 22-kg basket is...Ch. 3 - The earth has a radius of 6380 km and turns around...Ch. 3 - BIO Dizziness. Our balance is maintained, at least...Ch. 3 - BIO Pilot Blackout in a Power Dive. A jet plane...Ch. 3 - A model of a helicopter rotor has four blades,...Ch. 3 - A Ferris wheel with radius 14.0 m is turning about...Ch. 3 - The radius of the earths orbit around the sun...Ch. 3 - BIO Hypergravity. At its Ames Research Center,...Ch. 3 - A railroad flatcar is traveling to the right at a...Ch. 3 - A moving sidewalk in an airport terminal moves at...Ch. 3 - Two piers, A and B, are located on a river; B is...Ch. 3 - A canoe has a velocity of 0.40 m/s southeast...Ch. 3 - The nose of an ultralight plane is pointed due...Ch. 3 - Crossing the River I. A river flows due south with...Ch. 3 - Crossing the River II. (a) In which direction...Ch. 3 - BIO Bird Migration. Canada geese migrate...Ch. 3 - An airplane pilot wishes to fly due west. A wind...Ch. 3 - CALC A rocket is Tired at an angle from the top of...Ch. 3 - CALC A faulty model rocket moves in the xy-plane...Ch. 3 - CALC If r=bt2i+ct3jwhere b and c are positive...Ch. 3 - CALC The position of a dragonfly that is flying...Ch. 3 - CP A test rocket starting from rest at point A is...Ch. 3 - CALC A bird flies in the .vv-plane with a velocity...Ch. 3 - A sly 1.5-kg monkey and a jungle veterinarian with...Ch. 3 - BIO Spiraling Up. Birds of prey typically rise...Ch. 3 - In fighting forest fires, airplanes work in...Ch. 3 - A movie stuntwoman drops from a helicopter that is...Ch. 3 - An airplane is flying with a velocity of 90.0 m/s...Ch. 3 - A cannon, located 60.0 m from the base of a...Ch. 3 - CP CALC A toy rocket is launched with an initial...Ch. 3 - An important piece of landing equipment must be...Ch. 3 - The longest Home Run. According to Guinness World...Ch. 3 - An Errand of Mercy. An airplane is dropping bales...Ch. 3 - A baseball thrown at an angle of 60.0 above the...Ch. 3 - A water hose is used to fill a large cylindrical...Ch. 3 - A grasshopper leaps into the air from the edge of...Ch. 3 - Figure P3.58 3.58Kicking an Extra Point. In...Ch. 3 - Look Out! A snow-ball rolls off a barn roof that...Ch. 3 - A boy 12.0 m above the ground in a tree throws a...Ch. 3 - Suppose that the boy in Problem 3.60 throws the...Ch. 3 - A rock is thrown with a velocity V0, at an angle...Ch. 3 - Leaping the River II. A physics professor did...Ch. 3 - A 2.7-kg ball is thrown upward with an initial...Ch. 3 - A 76.0-kg rock is rolling horizontally at the top...Ch. 3 - Tossing Your Lunch. Henrietta is jogging on the...Ch. 3 - A cart carrying a vertical missile launcher moves...Ch. 3 - A firefighting crew uses a water cannon that...Ch. 3 - In the middle of the night you are standing a...Ch. 3 - CP Bang! A student sits atop a platform a distance...Ch. 3 - An airplane pilot sets a compass course due west...Ch. 3 - Raindrops. When a trains velocity is 12.0 m/s...Ch. 3 - In a World Cup soccer match, Juan is running due...Ch. 3 - An elevator is moving upward at a constant speed...Ch. 3 - Two soccer players, Mia and Alice, are running as...Ch. 3 - DATA A spring-gun projects a small rock from the...Ch. 3 - DATA You have constructed a hair-spray-powered...Ch. 3 - DATA You are a member of a geological team in...Ch. 3 - CALC A projectile thrown from a point P moves in...Ch. 3 - Two students are canoeing on a river. While...Ch. 3 - CP A rocket designed to place small payloads into...Ch. 3 - BIO BALLISTIC SEED DISPERSAL. Some plants disperse...Ch. 3 - BIO BALLISTIC SEED DISPERSAL. Some plants disperse...Ch. 3 - BIO BALLISTIC SEED DISPERSAL. Some plants disperse...Ch. 3 - A large number of seeds are observed, and their...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Repeat Example 17.4 with an initial ice mass of 50 g.
Essential University Physics: Volume 1 (3rd Edition)
Youre Chief Financial Officer for a power company, and you consult your engineering department in an effort to ...
Essential University Physics: Volume 2 (3rd Edition)
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective (8th Edition)
A parallel-plate capacitor with capacitance 5.0F is charged with a 12.0-V battery, after which the battery is d...
University Physics Volume 2
(II) Suppose a straight 1.00-mm-diameter copper wire could just “float” horizontally in air because of the forc...
Physics for Scientists and Engineers with Modern Physics
(a) Show that .
[Hint: Use integration by parts.]
(b) Let be the step function: . (1.95)
Show that .
Introduction to Electrodynamics
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 stone is thrown outward, at an angle of 30° with the horizontal into the river from a cliff, that is 75 meters above the water level at a velocity of 54 km/hr. How long it will take the stone to hit the surface of the river? a. 0.06159 minb. 0.059157minc. 0.01596 mind. 0.07915 minarrow_forwardIrina, standing on the edge of a cliff, throws a stone at a 40-degree angle above the horizontal with an initial speed of 10.0 m/s. The instant before the stone hits the ground below, it is traveling at a speed of 63 m/s. If Irina were to throw the other rock at a 40-degree angle below the horizontal from the cliff instead, with the same initial speed of 10.0 m/s, what is the magnitude of the velocity of the stone just before it hits the ground? Ignore any effects of air resistancearrow_forwardA ferryboat has a still water speed of 10.3 km/hr. Its helmsman steers the boat due north across a river that runs with a current of 5.2 km/hr east. If the trip lasts 1.5 hr, how wide is the river? How far east does the ferry travel during the trip?arrow_forward
- Which of the following will not affect the trajectory of an idealized projectile? a. initial angle b. initial speed c.Temperature d. gravitational accelerationarrow_forwardAn Olympic diver is on a diving platform 4.5 m above the water. To start her dive, she runs off of the platform with a speed of 1.3 m/s in the horizontal direction. Determine the diver's speed just before she enters the water. 4.7 m/s 9.5 m/s 6.4 m/s 0 m/sarrow_forwardIf a spaceship traveling through deep space with the velocity vector as a function of time: v = (2t i +4t j+ 6t k) m/s. (time is in seconds). Given the initial position of the spaceship is r0= (20 i− 50 j − 100 k ) m. At what time would the spaceship be the closest to the origin? and What would the acceleration of the spaceship be at this instant? If you can express the acceleration in Cartesian vector form. Also ? is the unit vector in the z-direction.arrow_forward
- A ship sailing in the Gulf Stream is heading 25.0∘ west of north at a speed of 4.00 m/s relative to the water. Its velocity relative to the Earth is 4.80 m/s at an angle 5.00∘ west of north. A) What is the magnitude of the velocity of the Gulf Stream in meters per second? (The velocity obtained is typical for the Gulf Stream a few hundred kilometers off the east coast of the United States.) B) What is the angle of the velocity of the Gulf Stream in degrees north of east?arrow_forwardA basketball player is standing on the floor 10.0 m from the basket as in Figure P3.47. The height of the basket is 3.05 m, and he shoots the ball at a 40.0 angle with the horizontal from a height of 2.00 m. (a) What is the acceleration of the basketball at the highest point in its trajectory? (b) At what speed must the player throw the basketball so that the ball goes through the hoop without striking the backboard?arrow_forwardA student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vi= 18.0 m/s. The cliff is h = 50.0 m above a body of water as shown in Figure P3.19. (a) What are the coordinates of the initial position of the stone? (b) What are the components of the initial velocity of the stone? (c) What is the appropriate analysis model for the vertical motion of the stone? (d) What is the appropriate analysis model for the horizontal motion of the stone? (e) Write symbolic equations for the x and y components of the velocity of the stone as a function of time. (f) Write symbolic equations for the position of the stone as a function of time. (g) How long after being released does the stone strike the water below the cliff? (h) With what speed and angle of impact does the stone land?arrow_forward
- In a classic clip on Americas Funniest Home Videos, a sleeping cat rolls gently off the top of a warm TV set. Ignoring air resistance, calculate the position and velocity of the cat after (a) 0.100 s, (b) 0.200 s, and (c) 0.300 s.arrow_forwardThe Vomit Comet. In microgravity astronaut training and equipment testing, NASA flies a KC135A aircraft along a parabolic flight path. As shown in Figure P3.45, the aircraft climbs from 24 000 ft to 31 000 ft, where it enters a parabolic path with a velocity of 143 m/s nose high at 45.0 and exits with velocity 143 m/s at 45.0 nose low. During this portion of the flight, the aircraft and objects inside its padded cabin are in free fall; astronauts and equipment float freely as if there were no gravity. What are the aircrafts (a) speed and (b) altitude at the top of the maneuver? (c) What is the time interval spent in microgravity?arrow_forwardA projectile is launched on the Earth with a certain initial velocity and moves without air resistance. Another projectile is launched with the same initial velocity on the Moon, where the acceleration due to gravity is one-sixth as large. How does the range of the projectile on the Moon compare with that of the projectile on the Earth? (a) It is one-sixth as large. (b) It is the same. (c) It is 6 times larger. (d) It is 6 times larger. (e) It is 36 times larger.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
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
An Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
An Introduction to Physical Science
Physics
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:Cengage Learning
Relative Velocity - Basic Introduction; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=_39hCnqbNXM;License: Standard YouTube License, CC-BY