Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 2, Problem 9P
A hare and a tortoise compete in a race over a straight course 1.00 km long. The tortoise crawls at a speed of 0.200 m/s toward the finish line. The hare runs at a speed of 8.00 m/s toward the finish line for 0.800 km and then stops to tease the slow-moving tortoise as the tortoise eventually passes by. The hare waits for a while after the tortoise passes and then runs toward the finish line again at 8.00 m/s. Both the hare and the tortoise cross the finish line at the exact same instant. Assume both animals, when moving, move steadily at their respective speeds. (a) How far is the tortoise from the finish line when the hare resumes the race? (b) For how long in time was the hare stationary?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A gazelle and a mouse participate in a race over a 2.00 km long course. The gazelle travels at a speed of 15.0 m/s and the mouse can do 2.50 m/s. The gazelle runs for 1.600 km and then stops to tease the slow-moving mouse, which
eventually passes by. The gazelle waits for a while after the mouse passes and then runs toward the finish line. Both animals cross the finish line at the exact same instant. Assume both animals, when moving, move steadily at their
respective speeds.
(a) How far (in m) is the mouse from the finish line when the gazelle resumes the race?
(b) For how long in time (in s) was the gazelle stationary?
A wildebeest and a chicken participate in a race over a 1.90 km long course. The wildebeest travels at a speed of 15.0 m/s and the chicken can do 3.30 m/s. The wildebeest runs for 1.520 km and then stops to tease the slow-moving chicken, which eventually passes by. The wildebeest waits for a while after the chicken passes and then runs toward the finish line. Both animals cross the finish line at the exact same instant. Assume both animals, when moving, move steadily at their respective speeds.
How far (in m) is the chicken from the finish line when the wildebeest resumes the race?
For how long in time (in s) was the wildebeest stationary?
A horse and a squirrel participate in a race over a 1.90 km long course. The horse travels at a speed of 19.0 m/s and the squirrel can do 3.30 m/s. The
horse runs for 1.520 km and then stops to tease the slow-moving squirrel, which eventually passes by. The horse waits for a while after the squirrel
passes and then runs toward the finish line. Both animals cross the finish line at the exact same instant. Assume both animals, when moving, move
steadily at their respective speeds.
(a) How far (in m) is the squirrel from the finish line when the horse resumes the race?
Enter a number. r animal resumes the race, they both travel for the same amount of time to the end of the race. How far does the faster animal
travel during this time? If we represent the distance the slower animal has traveled by D, how far does the slower animal travel? m
(b) For how long in time (in s) was the horse stationary?
S
Chapter 2 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 2.1 - Under which of the following conditions is the...Ch. 2.2 - Are members of the highway patrol more interested...Ch. 2.4 - Using Active Figure 2.8, match each vxt graph on...Ch. 2.4 - If a car is traveling eastward and slowing down,...Ch. 2.5 - Which of the following statements is true? (a) If...Ch. 2.7 - A ball is thrown upward. While the ball is in...Ch. 2 - One drop of oil falls straight down onto the road...Ch. 2 - When applying the equations of kinematics for an...Ch. 2 - Prob. 3OQCh. 2 - Prob. 4OQ
Ch. 2 - When the pilot reverses the propeller in a boat...Ch. 2 - A pebble is dropped from rest from the top of a...Ch. 2 - A student at the top of a building of height h...Ch. 2 - Prob. 8OQCh. 2 - As an object moves along the x axis, many...Ch. 2 - You drop a ball from a window located on an upper...Ch. 2 - A skateboarder starts from rest and moves down a...Ch. 2 - A ball is thrown straight up in the air. For which...Ch. 2 - A hard rubber ball, not affected by air resistance...Ch. 2 - Prob. 14OQCh. 2 - If a car is traveling eastward, can its...Ch. 2 - Prob. 2CQCh. 2 - (a) Can the equations of kinematics (Eqs....Ch. 2 - Prob. 4CQCh. 2 - Prob. 5CQCh. 2 - Prob. 6CQCh. 2 - Prob. 7CQCh. 2 - You throw a ball vertically upward so that it...Ch. 2 - Two cars are moving in the same direction in...Ch. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - A person walks first at a constant speed of 5.00...Ch. 2 - A positiontime graph for a particle moving along...Ch. 2 - The position of a particle moving along the x axis...Ch. 2 - Find the instantaneous velocity of the particle...Ch. 2 - Prob. 8PCh. 2 - A hare and a tortoise compete in a race over a...Ch. 2 - An object moves along the x axis according to the...Ch. 2 - A particle moves along the x axis according to the...Ch. 2 - A student drives a moped along a straight road as...Ch. 2 - A particle starts from rest and accelerates as...Ch. 2 - A glider of length 12.4 cm moves on an air track...Ch. 2 - Figure P2.15 shows a graph of vx versus t for the...Ch. 2 - Draw motion diagrams for (a) an object moving to...Ch. 2 - Prob. 17PCh. 2 - The minimum distance required to stop a car moving...Ch. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - The driver of a car slams on the brakes when he...Ch. 2 - In the particle under constant acceleration model,...Ch. 2 - A truck on a straight road starts from rest,...Ch. 2 - A particle moves along the x axis. Its position is...Ch. 2 - A speedboat travels in a straight line and...Ch. 2 - In a classic clip on Americas Funniest Home...Ch. 2 - Prob. 29PCh. 2 - A baseball is hit so that it travels straight...Ch. 2 - Prob. 31PCh. 2 - It is possible to shoot an arrow at a speed as...Ch. 2 - A student throws a set of keys vertically upward...Ch. 2 - At time t = 0, a student throws a set of keys...Ch. 2 - A ball is thrown directly downward with an initial...Ch. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - A steam catapult launches a jet aircraft from the...Ch. 2 - An object is at x = 0 at t = 0 and moves along the...Ch. 2 - Colonel John P. Stapp, USAF, participated in...Ch. 2 - A woman is reported to have fallen 144 ft from the...Ch. 2 - A ball starts from rest and accelerates at 0.500...Ch. 2 - A glider of length moves through a stationary...Ch. 2 - Prob. 45PCh. 2 - The Acela is an electric train on the...Ch. 2 - Liz rushes down onto a subway platform to find her...Ch. 2 - A commuter train travels between two downtown...Ch. 2 - Prob. 49PCh. 2 - A motorist drives along a straight road at a...Ch. 2 - Prob. 51PCh. 2 - Astronauts on a distant planet toss a rock into...Ch. 2 - Prob. 53PCh. 2 - A hard rubber ball, released at chest height,...Ch. 2 - A man drops a rock into a well. (a) The man hears...Ch. 2 - Why is the following situation impossible? A...Ch. 2 - Two objects, A and B, are connected by a rigid rod...
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 horse and a squirrel participate in a race over a 1.40 km long course. The horse travels at a speed of 19.0 m/s and the squirrel can do 2.90 m/s. The horse runs for 1.120 km and then stops to tease the slow-moving squirrel, which eventually passes by. The horse waits for a while after the squirrel passes and then runs toward the finish line. Both animals cross the finish line at the exact same instant. Assume both animals, when moving, move steadily at their respective speeds. (a) How far (in m) is the squirrel from the finish line when the horse resumes the race? m (b) For how long in time (in s) was the horse stationary?arrow_forwardA lion and a pig participate in a race over a 2.00 km long course. The lion travels at a speed of 19.0 m/s and the pig can do 2.70 m/s. The lion runs for 1.600 km and then stops to tease the slow-moving pig, which eventually passes by. The lion waits for a while after the pig passes and then runs toward the finish line. Both animals cross the finish line at the exact same instant. Assume both animals, when moving, move steadily at their respective speeds. (a) How far (in m) is the pig from the finish line when the lion resumes the race? Answer:_______________m (b) For how long in time (in s) was the lion stationary? Answer:_____________sarrow_forwardA hare and a tortoise are having a race along a 2.0km track. The tortoise sets off at a constant speed of 1.6 m/s. The hare is confident that they can win, so first do 1000 meters at 5 m/s turns around and sees the hare and so stops and falls asleep for 10 mins. The hare wakes up and then sees the tortoise too close so speeds up again at 5m/s for another 500 meters after which the Hare again decides to sleep for 5 mins being so are in front. The Hare wakes up and sees the Tortoise! He dashes for the finish another 500 meters away at 8 m/s. To no avail as the story goes. By how much did the Tortoise win?arrow_forward
- A runner and a cyclist compete in a race over a straight course 20 km long. The runner runs at a steady speed of 10 m/s toward the finish line. The cyclist zips at a speed of 23 m/s toward the finish line for 12 km but upon seeing that he is already far ahead of the runner, he decides to stop and wait for the runner to catch up to him. The runner eventually reaches the cyclist and continues moving toward the finish line. The cyclist waits for a while after the runner passes and then cycles toward the finish line again at 23m/s. Both the cyclist and the runner cross the finish line in the exact same instant. Assume both of them, when moving, move steadily at their respective speeds. (a) How far is the runner from the finish line when the cyclist resumes the race? (b) For how long in time was the cyclist stationery?arrow_forwardA tortoise and a hare are in a road race to defend the honor of their breed. The tortoise crawls the entire 1000 meters at a speed of 0.2 m/s. The rabbit runs the first 200 meters at 2 m/s, stops to take a nap for 1.3 hours, and awakens to finish the last 800 meters with an average speed of 3 m/s. Who wins the race and by how much time?arrow_forwardA hare and a tortoise compete in a race over a course 1.00 km long. The tortoise craws straight and steadily at its maximum speed of 0.200 m/s toward the finish line. The hare runs at its maximum speed 8.00 m/s toward the goal for 0.800 km and then stops to tease the the tortoise. How close to the goal can the hare let the tortoise wins in a photo finish? Assume that, when moving, both animals move steadily at their respective maximum speeds. Pls include figures and fbd.arrow_forward
- A lion and a pig participate in a race over a 1.80 km long course. The lion travels at a speed of 16.0 m/s and the pig can do 2.90 m/s. The lion runs for 1.440 km and then stops to tease the slow-moving pig, which eventually passes by. The lion waits for a while after the pig passes and then runs toward the finish line. Both animals cross the finish line at the exact same instant. Assume both animals, when moving, move steadily at their respective speeds. (a) How far (in m) is the pig from the finish line when the lion resumes the race? (b) For how long in time (in s) was the lion stationary? Need Help? Read It Submit Answerarrow_forwardTo burn the fats she accumulated during the lockdown, Katie walks south at a speed of 2.00 m/s for 60.0 minutes. She then turns around and walks north a distance 3000 m in 25.0 minutes. What is her total distance covered?arrow_forwardA cat is sleeping on the floor in the middle of a 3.0 m wide room when a barking dog enters with a speed of 1.50 m/s. As the dog enters, the cat immediately accelerates at 0.85 m/s2 toward an open window on the opposite side of the room. The dog is a bit startled by the cat and begins to slow down at 0.10 m/s2 as soon as it enters the room. How far is the cat in front of the dog as it leaps through the window?arrow_forward
- A tortoise can run with a speed of 0.11 m/s, and a hare can run 20 times as fast. In a race, they both start at the same time, but the hare stops to rest for 1.0 minutes. The tortoise wins by a shell (40 cm). How long does the race take? What is the length of the race?arrow_forwardMaria throws two stones from the top edge of a building with a speed of 2.9 x 10' m/s. The height of the building is 7 x 102 meters. She throws one straight down and the other straight up. The first one hits the street in a time tj. How much later is it before the second stone hits? answer in seconds.arrow_forwarda cheetah and a gazelle are both stopped. The gazelle runs and accelerates so that it reaches a velocity of 20 m/s after 100m, then runs at a constant velocity of 20 m/s. The cheetah waits 3 seconds and accelerates at 2.5 m/s to reach a final velocity of 22 m/s and then travels down the road at 22 m/s. When does the cheetah catch the gazelle? How far do they travel?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction 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 LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege 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
Speed Distance Time | Forces & Motion | Physics | FuseSchool; Author: FuseSchool - Global Education;https://www.youtube.com/watch?v=EGqpLug-sDk;License: Standard YouTube License, CC-BY