Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2, Problem 18P
Solve Example 2.8 by a graphical method. On the same graph, plot position versus time for the car and the trooper. From the intersection of the two curves, read the time at which the trooper overtakes the car.
Example 2.8 Watch Out for the Speed Limit!
You are driving at a constant speed of 45.0 m/s when you pass a trooper on a motorcycle hidden behind a billboard. One second after your car passes the billboard, the trooper sets out from the billboard to catch you, accelerating at a constant rate of 3.00 m/s2. How long does it take the trooper to overtake your car?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A bicycle's velocity in the x direction, as a function of time is given by: vx(t) = alpha beta(t2). Alpha and beta are constants.
1.) What is the acceleration as a function of time?
2.) What is the position as a function of time? Assume the initial position at t=0 is y. 3. If alpha = 300m/s and beta = 0.100m/s3 and y = 2.00m, what are the positions, velocities, and accelerations at the locations below?Â
t(s)Â
x(m)
v(m/s)
a(m/s2
1
Â
Â
Â
2
Â
Â
Â
5
Â
Â
Â
10
Caravan Analogy.Consider a highway that has tollbooths every 120 km. Suppose that cars travel at a rate of 120 km/hr (cars have instant acceleration to 120 km/hr and maintain that constant speed between tollbooths). If there is a convoy of 22 cars, and it takes each car an average of 24 seconds to clear the tollbooth, calculate the following.
a. Suppose the caravan travels 360 km, beginning in front of one tollbooth, passing through a second and third tollbooth and finishing just after a fourth tollbooth. What is the end-to-end delay, in minutes, from the time the first car goes through tollbooth 1 until the last cargoes through tollbooth 4?
b.The cast members of “The Fast and the Furious” show up. Instead of 22 cars, there arenow 18 cars. These 18 cars travel 220 km/hr instead of 120 km/hr. What is the new end-to-end delay in minutes?
c. Consider the diagram below. The police are on to the cast of “The Fast and the Furious”. These 18 cars travel 280 km/hr on segments A and B (where…
Chloe joined a running marathon for charity. She was trying to overtake another runner who was infront of her. By doing so, she accelerates from 8.5 m/s to 10.4 m/s in 6 s. Solve the following:A.Chloe's accelerationb. The distance travelled by Chloe
Â
Jayvee is travelling on his bicycle in 12.5 m/s and passes by a stationary truck. After Jayvee passesby the car, the car accelerates at 3.6 m/s2. Solve the following problems:a. The time for the bus to reach approximately the same speed as the cyclistb. The time for the bus to catch up with the cyclistC. The distance travelled when they both meet
Chapter 2 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 2.1 - Which of the following choices best describes what...Ch. 2.1 - Under which of the following conditions is the...Ch. 2.2 - Are officers in the highway patrol more interested...Ch. 2.5 - Make a velocitytime graph for the car in Figure...Ch. 2.5 - If a car is traveling eastward and slowing down,...Ch. 2.6 - Which one of the following statements is true? (a)...Ch. 2.7 - In Figure 2.12, match each vxt graph on the top...Ch. 2.8 - Consider the following choices: (a) increases, (b)...Ch. 2 - The speed of a nerve impulse in the human body is...Ch. 2 - A particle moves according to the equation x =...
Ch. 2 - The position of a pinewood derby car was observed...Ch. 2 - An athlete leaves one end of a pool of length L at...Ch. 2 - A positiontime graph for a particle moving along...Ch. 2 - A car travels along a straight line at a constant...Ch. 2 - A person takes a trip, driving with a constant...Ch. 2 - A child rolls a marble on a bent track that is 100...Ch. 2 - Figure P2.9 shows a graph of vx versus t for the...Ch. 2 - (a) Use the data in Problem 3 to construct a...Ch. 2 - A particle starts from rest and accelerates as...Ch. 2 - Draw motion diagrams for (a) an object moving to...Ch. 2 - Each of the strobe photographs (a), (b), and (c)...Ch. 2 - An electron in a cathode-ray tube accelerates...Ch. 2 - A parcel of air moving in a straight tube with a...Ch. 2 - In Example 2.7, we investigated a jet landing on...Ch. 2 - An object moving with uniform acceleration has a...Ch. 2 - Solve Example 2.8 by a graphical method. On the...Ch. 2 - A glider of length moves through a stationary...Ch. 2 - Why is the following situation impossible?...Ch. 2 - A glider of length 12.4 cm moves on an air track...Ch. 2 - In the particle under constant acceleration model,...Ch. 2 - At t = 0, one toy car is set rolling on a straight...Ch. 2 - You are observing the poles along the side of the...Ch. 2 - Prob. 25PCh. 2 - An attacker at the base of a castle wall 3.65 m...Ch. 2 - The height of a helicopter above the ground is...Ch. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - At time t = 0, a student throws a set of keys...Ch. 2 - Prob. 31PCh. 2 - A student drives a moped along a straight road as...Ch. 2 - Automotive engineers refer to the time rate of...Ch. 2 - In Figure 2.11b, the area under the velocitytime...Ch. 2 - The froghopper Philaenus spumarius is supposedly...Ch. 2 - A woman is reported to have fallen 144 ft from the...Ch. 2 - At t = 0, one athlete in a race running on a long,...Ch. 2 - Prob. 38APCh. 2 - Hannah tests her new sports car by racing with...Ch. 2 - Two objects, A and B, are connected by hinges to a...Ch. 2 - Prob. 41APCh. 2 - Two thin rods are fastened to the inside of a...Ch. 2 - In a womens 100-m race, accelerating uniformly,...
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 vertically upward with a speed of 17.6 m/sm/s from the edge of a cliff 75.0 mm high. A.)How much later does it reach the bottom of the cliff? Express your answer to three significant figures and include the appropriate units.  B.)What is its speed just before hitting? Express your answer to three significant figures and include the appropriate units.  C.)What total distance did it travel? Express your answer to three significant figures and include the appropriate units.arrow_forwardAnswer the following question(s): A student sees her physical science professor approaching on the sidewalk that runs by her dorm. She gets a water balloon and waits. When the professor is 2.0s from being directly under the window about 11m from the sidewalk, she drops the balloon. Finish the story.  Instructor Note:  There are several ways to reach the correct answer. I generally solve for time to determine if balloon will hit the professor or not based on the given scenario. A formula to use is ?=12??2d=12gt2?d = 1 2 g t 2 where d = distance g = gravitational constant of 9.8 t = timearrow_forwardDirection: Solve what is required in each of the following problems. Show a step by step process in finding the solution of the problem. An airplane accelerates down a runway at 3.20 m/s2 for 38 s until is finally lifts off the ground. Determine the distance traveled before takeoff. Upton Chuck is riding the Giant Drop at Great America. If Upton free falls for 2.80 seconds, what will be his final velocity and how far will he fall? A car begins driving from a stationary position. It accelerates at 5 m/s2 for 15 seconds, then travels at a steady speed for another 10 seconds, all in the same direction. How much distance has it covered since it started driving?arrow_forward
- A boy has a height of 1.83 meters measured from the ground surface. She then lifts a rock and throw it straight upward giving it an upward acceleration coming from rest of 35.0 m/s^2 for 64 cm. The ball was released 2.20 m above the ground. A.)How high above the ground does the rock go? B.) compute the time she must get out of its way before it returns exactly at his heightarrow_forwardYou are driving a car on a straight road when you spot a desert tortoise walking across the road in front of you. You bring the car to a stop. The car slows down with a constant acceleration. How far does the car travel as it slows to a stop? Solve this problem graphically. In other words, do not use the kinematics equations.arrow_forwardAt t = 0, a truck is traveling east at a constant speed of s = 85.9 km/h. At an intersection d = 37.8 km ahead, a car is traveling north at constant speed of v = 58 km/h a.) Write an expression for the distance r between the truck and the car as a function of time. Use the variables from the problem statement for your equation. b.)Write an expression for the time at which the distance between the car and the truck as its minimum value. Use the variables from the problem statement for your equation. c.)What is the time, in hours, at which the distance between the car and the truck as its minimum value?  d.) What is the minimum distance, in kilometers, between the car and the truck?arrow_forward
- Aila is running at 5 m/s to catch the school bus, which is stopped to a nearby bus stop. When Aila is still 40 meters away from the bus, the bus is already moving with a constant acceleration of 0.170 m/s^2. A. Compute the time and the distance does Aila have to run before she can overtake the bus. B. At the instant she reaches the bus, how fast is the bus moving?arrow_forwardYou are driving along Lawrence Ave. at 60 km/h. You see the traffic light ahead is still green and decide to speed up to try to make it through the intersection before it turns red (poor decision!). Your car accelerates at 1.3 m/s. You reach the light after accelerating for 4.3 seconds. What is your speed at the light in m/s? V =v, +aAt A: Pictorial Representation Sketch showing events, describe events, coordinate system, label givens & unknowns with symbols, conversions B: Physics Representation Motion diagram, motion graphs, velocity vectors, events a C: Word Representation Describe motion (no numbers),-assumptions, estimated result (no calculation) D: Mathematical Representation Describe physics of steps, complete equations, algebraically isolate, substitutions with units, final statement of prediction E: Evaluation Answer has reasonable size, direction and units? Why?arrow_forwardSarah is driving on a freeway in a forest at 13.0m/s when suddenly a deer runs in front of her and stands still out of fright. The deer is 20.0m in front of Sarah when she steps on the brakes with a deceleration of magnitude 4.59 m/s2A) Find the stopping distance of Sarah. Does she hit the deer? Give support to your explanation.B) How long (how much time) does it take Sarah to travel half of the stopping distance in part (a)?arrow_forward
- A cat walks in a straight line, which we shall call the -axis, with the positive direction to the right. As an observant physicist, you make measurements of this cat's motion and construct a graph of the feline's velocity as a function of time (Figure 1). I. Calculate the area under the graph between t = 0 and t = 6.0 s. (Express your answer to two significant figures and include the appropriate units.) II. For the time interval t = 0 to t = 6.0 s, what is the magnitude of the average velocity of the cat? (Express your answer to two significant figures and include the appropriate units.) III. Use constant-acceleration equations to calculate the distance the cat travels in this time interval. (Express your answer to two significant figures and include the appropriate units.)arrow_forwardI am doing a lab report for my physics class. The lab consists of throwing a ball upward and recording its movements. Please explain these next questions and how you got the answer. Determine the launch velocity of the ball from the velocity vs. time graphs in the x and y directions. Is this value reasonable? Determine the velocity of the ball at its highest point. Is this value reasonable?arrow_forwardProblem 1: The Tesla Model S P85 electric car accelerates from 0 to 30 mph in 1.4 s, 0 to 60 mph in 3.5 s and 0 to 110 mph in 12.1 s. Estimate how far from the start (in meters) the car is at t=12.1 s. You are given limited information about the motion of the car, so you will need to make some reasonable assumption about how it accelerates. Describe what assumption you used to solve the problem.  Problem 2: The Tesla Model S P85 electric car stops from 60 mph over a distance of 118 feet. Find the average deceleration of the car? Express it in multiples of the acceleration due to gravity, g. Compare it to the average acceleration from 0 to 60 mph  in problem 1. Which one is greater, by magnitude?arrow_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
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