College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 54PE
Near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The front runner has a velocity of 3.50 m/s, and the second a velocity of 4.20 m/s. (a) What is the velocity of the second runner relative to the first? (b) If the front runner is 250 m from the finish line, who will win the race, assuming they run at constant velocity? (c) What distance ahead will the winner be when she crosses the finish line?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The front runner has a velocity of 3.45 m/s, and the second a velocity of 4.25 m/s.
(a) What is the velocity (in m/s) of the second runner relative to the first?
m/s faster than the front runner
(b) If the front runner is 250 m from the finish line, who will win the race, assuming they run at constant velocity?
○ The second runner will win.
The first runner will win.
(c) What distance (in m) ahead will the winner be when she crosses the finish line?
m
Near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The front runner has a velocity of 3.50 m/s, and the second a velocity of 4.25 m/s.
(a) What is the velocity of the second runner relative to the first? (Enter a number. Enter your answer in m/s faster than the front runner.)
X m/s faster than the front runner
(b) If the front runner is 250 m from the finish line, who will win the race, assuming they run at constant velocity?
The first runner will win.
The second runner will win.
(c) What distance (in m) ahead will the winner be when she crosses the finish line? (Enter a number.)
X m
Near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The front runner has a velocity of 3.45 m/s, and the second a velocity of
4.20 m/s.
(a) What is the velocity of the second runner relative to the first? (Enter a number. Enter your answer in m/s faster than the front runner.)
m/s faster than the front runner
(b) If the front runner is 250 m from the finish line, who will win the race, assuming they run at constant velocity?
O The first runner will win.
O The second runner will win.
(c) What distance (in m) ahead will the winner be when she crosses the finish line? (Enter a number.)
m
Chapter 3 Solutions
College Physics
Ch. 3 - Which of the following is a vector: a person's...Ch. 3 - Give a specific example of a vector, stating its...Ch. 3 - What do vectors and scalars have in common? How do...Ch. 3 - Two calipers in a national park hike from their...Ch. 3 - If an airplane plot is told to fly 123 km in a...Ch. 3 - Suppose you take two steps A and B (that is, two...Ch. 3 - Explain why it is not possible to add a scalar to...Ch. 3 - If you take two steps of different sizes, can you...Ch. 3 - Suppose you add two vectors A and B. What relative...Ch. 3 - Give an example of a nonzero vector that has a...
Ch. 3 - Explain why a vector cannot have a component...Ch. 3 - If the vectors A and B are perpendicular, what is...Ch. 3 - Answer the following questions for projectile...Ch. 3 - Answer the following questions for projectile...Ch. 3 - For a fixed initial speed, the range of a...Ch. 3 - During a lecture demonstration, a professor places...Ch. 3 - What frame or frames of reference do you...Ch. 3 - A basketball player dribbling clown the court...Ch. 3 - If someone riding in the back of a pickup truck...Ch. 3 - The hat of a jogger running at constant velocity...Ch. 3 - A clod of dirt falls from the bed of a moving...Ch. 3 - Find the following for path A in Figure 3.54: (a)...Ch. 3 - Find the following for path B in Figure 3.54: (a)...Ch. 3 - Find the north and east components of the...Ch. 3 - Suppose you walk 18.0 m straight west and then...Ch. 3 - Suppose you first walk 12.0 m in a direction 20°...Ch. 3 - Repeat the problem above, but reverse the order of...Ch. 3 - (a) Repeat the problem two problems prior, but for...Ch. 3 - Show that the order of addition of three vectors...Ch. 3 - Show that the sum of the vectors discussed in...Ch. 3 - Find the magnitudes of velocity vAand vBin figure...Ch. 3 - Find the components of vtot along the x- and...Ch. 3 - Find the components of vtot along a set of...Ch. 3 - Find the following for path C in Figure 3.58: (a)...Ch. 3 - Find the following for path D in Figure 3.58: (a)...Ch. 3 - Find the north and east components of the...Ch. 3 - Solve the following problem using analytical...Ch. 3 - Repeat Exercise 3.16 using analytical techniques,...Ch. 3 - You drive 7.50 km in a straight line in a...Ch. 3 - Do Exercise 3.16 again using analytical techniques...Ch. 3 - A new landowner has a triangular piece of flat...Ch. 3 - You fly 32.0 km in a straight line in still air in...Ch. 3 - A farmer wants to fence off his four-sided plot of...Ch. 3 - In an attempt to escape his island, Gilligan...Ch. 3 - Suppose a pilot flies 40.0 km in a direction 60°...Ch. 3 - A projectile is launched at ground level with an...Ch. 3 - A ball is kicked with an initial velocity of 16...Ch. 3 - A ball is thrown horizontally from the top of a...Ch. 3 - (a) A daredevil is attempting to jump his...Ch. 3 - An archer shoots an arrow at a 75.0 m distant...Ch. 3 - A rugby player passes the ball 7.00 m across the...Ch. 3 - Verify the ranges for the projectiles in Figure...Ch. 3 - Verity the ranges shown for the projectiles in...Ch. 3 - The cannon on a battleship can fire a shell a...Ch. 3 - An arrow is shot from a height of 1.5 m toward a...Ch. 3 - In the standing broad jump, one squats and then...Ch. 3 - The world long jump record is 8.95 m (Mike Powell,...Ch. 3 - Serving at a speed of 170 km/h, a tennis player...Ch. 3 - A football quarterback is moving straight backward...Ch. 3 - Gun sights are adjusted to aim high to compensate...Ch. 3 - An eagle is flying horizontally at a speed of 3.00...Ch. 3 - An owl is carrying a mouse to the chicks in its...Ch. 3 - Suppose a soccer player kicks the ball from a...Ch. 3 - Can a goalkeeper at her/ his goal kick a soccer...Ch. 3 - The free throw line in basketball is 4.57 m (15...Ch. 3 - In 2007, Michael Carter (U.S.) set a world record...Ch. 3 - A basketball player is running at 5.00 m/s...Ch. 3 - A football player punts the ball at a 45.0° angle....Ch. 3 - Prove that the trajectory of a projectile is...Ch. 3 - Derive R=v02sin20g for the range of a projectile...Ch. 3 - Unreasonable Results (a) Find the maximum range of...Ch. 3 - Construct Your Own Problem Consider a ball tossed...Ch. 3 - Bryan Allen pedaled a human-powered aircraft...Ch. 3 - A seagull flies at a velocity of 9.00 m/s straight...Ch. 3 - Near the end of a marathon race, the first two...Ch. 3 - Verity that the coin dropped by the airline...Ch. 3 - A football quarterback is moving straight backward...Ch. 3 - A ship sets sail from Rotterdam, The Netherlands,...Ch. 3 - (a) A jet airplane flying from Darwin, Australia,...Ch. 3 - (a) In what direction would the ship in Exercise...Ch. 3 - (a) Another airplane is flying in a jet stream...Ch. 3 - A sandal is dropped from the top of a 15.0-m-high...Ch. 3 - The velocity of the wind relative to the water is...Ch. 3 - The great astronomer Edwin Hubble discovered that...Ch. 3 - (a) Use the distance and velocity data in Figure...Ch. 3 - An athlete crosses a 25-m-wide river by swimming...Ch. 3 - A ship sailing in the Gulf Stream is heading 25.0°...Ch. 3 - An ice hockey player is moving at 8.00 m/s when he...Ch. 3 - Unreasonable Results Suppose you wish to shoot...Ch. 3 - Unreasonable Results A commercial airplane has an...Ch. 3 - Construct Your Own Problem Consider an airplane...
Additional Science Textbook Solutions
Find more solutions based on key concepts
8. A 1000 kg car pushes a 2000 kg truck that has a dead battery. When the driver steps on the accelerator, the ...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Endospore formation is called (a) _____. It is initiated by (b) _____. Formation of a new cell from an endospor...
Microbiology: An Introduction
Define histology.
Fundamentals of Anatomy & Physiology (11th Edition)
Your bore cells, muscle cells, and skin cells look different because a. different kinds of genes are present in...
Campbell Essential Biology (7th Edition)
2. List the subdivisions of the thoracic and abdominopelvic cavities.
Human Anatomy & Physiology (2nd Edition)
1. Why is the quantum-mechanical model of the atom important for understanding chemistry?
Chemistry: Structure and Properties (2nd Edition)
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 mountain climber stands at the top of a 20.0 m cliff that overhangs a calm pool of water. She throws two stones vertically downward 1.00 s apart and observes that they cause a single splash. The first stone had an initial velocity of -2.20 m/s. (a) How long after release of the first stone did the two stones hit the water? (Round your answer to at least two decimal places.) (b) What initial velocity must the second stone have had, given that they hit the water simultaneously? (c) What was the velocity of each stone at the instant it hit the water?arrow_forwardProblem 1: Near the end of a foot race, the front two runners are separated by a distance of 45 m. The race leader has a velocity of 3.5 m/s and the second runner has a velocity of 4.2 m/s. a) What is the velocity of the second runner relative to the first? b) If the frontrunner is 250 m from the finish line, who wins the race? c) How far ahead of the second runner does the eventual winner finish?arrow_forwardOn February 15, 2013, a superbolide meteor (brighter than the Sun) entered Earth’s atmosphere over Chelyabinsk, Russia, and exploded at an altitude of 23.5 km. Eyewitnesses could feel the intense heat from the fireball, and the blast wave from the explosion blew out windows in buildings. The blast wave took approximately 2 minutes 30 seconds to reach ground level. (a) What was the average velocity of the blast wave? b) Compare this with the speed of sound, which is 343 m/s at sea level.arrow_forward
- 1. Near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The front runner has a velocity of 3.50 m/s, and the second a velocity of 4.25 m/s. (a) What is the velocity (in m/s) of the second runner relative to the first? m/s faster than the front runner (b) If the front runner is 250 m from the finish line, who will win the race, assuming they run at constant velocity? The first runner will win.The second runner will win. (c) What distance (in m) ahead will the winner be when she crosses the finish line? 2. A woman starts to swim directly across a 5.6-km-wide river. Her speed with respect to the water is 1.3 m/s. The river current carries the woman downstream at a speed of 0.91 m/s. (a) How much time, in seconds, does it take her to cross the river? (b) How far downstream, in meters, will the river carry her by the time she reaches the other side of the river?arrow_forwardA small mailbag is released from a helicopter that is descending steadily at 2.08 m/s. (a) After 4.00 s, what is the speed of the mailbag? b) How far is it below the helicopter? (c) What is the velocity and distance of the helicopter is it is rising steadily at 2.08 m/s?arrow_forwardAn inquisitive physics student and mountain climber climbs a 49.0-m-high cliff that overhangs a calm pool of water. He throws two stones vertically downward, 1.00 s apart, and observes that they cause a single splash. The first stone has an initial speed of 1.84 m/s. (a) How long after release of the first stone do the two stones hit the water? (b) What initial velocity must the second stone have if the two stones are to hit the water simultaneously? magnitude m/s direction downward v (c) What is the speed of each stone at the instant the two stones hit the water? first stone m/s second stone m/sarrow_forward
- An inquisitive physics student and mountain climber climbs a 47.0-m-high cliff that overhangs a calm pool of water. He throws two stones vertically downward, 1.00 s apart, and observes that they cause a single splash. The first stone has an initial speed of 2.08 m/s. (a) How long after release of the first stone do the two stones hit the water? (b) What initial velocity must the second stone have if the two stones are to hit the water simultaneously? magnitude m/s direction ---Select--- v (c) What is the speed of each stone at the instant the two stones hit the water? first stone m/s second stone m/sarrow_forwardAn inquisitive physics student and mountain climber climbs a 51.0-m-high cliff that overhangs a calm pool of water. He throws two stones vertically downward, 1.00 s apart, and observes that they cause a single splash. The first stone has an initial speed of 2.02 m/s. (a) How long after release of the first stone do the two stones hit the water? S (b) What initial velocity must the second stone have if the two stones are to hit the water simultaneously? magnitude m/s direction downward (c) What is the speed of each stone at the instant the two stones hit the water? first stone m/s second stone m/sarrow_forwardAn inquisitive physics student and mountain climber climbs a 51.0-m-high cliff that overhangs a calm pool of water. He throws two stones vertically downward, 1.00s apart, and observes that they cause a single splash. The first stone has an initial speed of 2.20 m/s. (a) How long after release of the first stone do the two stones hit the water? (b) What initial velocity must the second stone have if the two stones are to hit the water simultaneously? magnitude: m/s (c) What is the speed of each stone at the instant the two stones hit the water? first stone: m/s second stone: m/sarrow_forward
- An inquisitive physics student and mountain climber climbs a 50.0-m-high cliff that overhangs a calm pool of water. He throws two stones vertically downward, 1.00 s apart, and observes that they cause a single splash. The first stone has an initial speed of 2.00 m/s. (a) How long after release of the first stone do the two stones hit the water? (b) What initial velocity must the second stone have if the two stones are to hit the water simultaneously? c) What is the speed of each stone at the instant the two stones hit the water? DRAW THE DIAGRAMSarrow_forwardA man who is on top of a roof of a high building drops a piece of metallic material. A second piece of metallic material is dropped 3.0 seconds later. How far apart (km) are the materials when the second material has reached a speed of 15.0 m/sarrow_forwardAn inquisitive physics student and mountain climber climbs a 46.0-m-high cliff that overhangs a calm pool of water. He throws two stones vertically downward, 1.00 s apart, and observes that they cause a single splash. The first stone has an initial speed of 1.98 m/s. (a) How long after release of the first stone do the two stones hit the water? (b) What initial velocity must the second stone have if the two stones are to hit the water simultaneously? magnitude m/s direction (c) What is the speed of each stone at the instant the two stones hit the water? first stone m/s second stone m/sarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY