Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (Chs 1-42) Plus Mastering Physics with Pearson eText -- Access Card Package (4th Edition)
4th Edition
ISBN: 9780133953145
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2, Problem 50EAP
Two cars are driving at the same constant speed on a straight road, with car 1 in front of car 2. Car 1 suddenly starts to brake with constant acceleration and stops in 10 m. At the instant car 1 comes to a stop, car 2 begins to brake with the same acceleration. It comes to a halt just as it reaches the back of car 1. What was the separation between the cars before they starting braking?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Two trucks are heading towards each other on opposite sides of a two-lane road. Truck A is moving with an acceleration of 4m/s2. Truck B is moving with an acceleration if -8m/s2. The trucks are initially at rest and separated by a distance d= 2500m on the x-axis. At what time, in seconds, do the cars pass one another?
A red Mazda Miata (type of car) accelerates from rest at a rate of a₁ in the positive x direction for a
total of 20.0 seconds. The Mazda then holds their speed and direction constant for a 20.0
additional seconds. Finally, while continuing in the positive x direction, the Mazda slows down at a
rate of a2 until the car stops moving.
We want to determine the total distance traveled by the Mazda and the average speed of the car if
we know a₁ and ₂.
(A) Sketch a graph of velocity versus time for this short trip. Label the time axis to indicate which
portions of the curve(s) correspond to the above intervals. Identify and write knowns and
unknowns
(B) Without using numerical values, determine which physics equations of motion will help solve
this problem. Simplify as useful for this particular case.
(C) If a₁ = 2.0 m/s² and a₂ = -3.0 m/s² determine the total distance traveled during all intervals
and the average velocity of the Mazda.
Two cars are heading towards one another. Car A is moving with an acceleration of aA = 7 m/s2. Car B is moving with an acceleration of aB = -4 m/s2. The cars are initially at rest and separated by a distance d = 2300 m on the x-axis.
At what time, in seconds, do the cars meet?
What is the displacement, in meters, of Car A?
What is the displacement, in meters, of Car B? Now assume that both cars start with an initial velocity. Car A's initial velocity is v0A = 23 m/s and Car B's initial velocity is vB = -17 m/s. At what time, t2 in seconds, do they meet?
Chapter 2 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (Chs 1-42) Plus Mastering Physics with Pearson eText -- Access Card Package (4th Edition)
Ch. 2 - For Questions 1 through 3, interpret the position...Ch. 2 - For Questions 1 through 3, interpret the position...Ch. 2 - For Questions 1 through 3, interpret the position...Ch. 2 - FIGURE Q2.4 shows a position-versus-time graph for...Ch. 2 - FIGURE Q2.5 shows a position-versus-time graph for...Ch. 2 - FIGURE Q2.6 shows the position-versus-time graph...Ch. 2 - FIGURE Q2.7 shows the position-versus-time graph...Ch. 2 - FIGURE Q2.8 shows six frames from the motion...Ch. 2 - You’re driving along the highway at a steady speed...Ch. 2 - A bicycle is traveling east. Can its acceleration...
Ch. 2 - (a) Give an example of a vertical motion with a...Ch. 2 - A ball is thrown straight up into the air. At each...Ch. 2 - A rock is thrown (not dropped) straight do from a...Ch. 2 - FIGURE Q2.14 shows the velocity-versus-time graph...Ch. 2 - Alan leaves Los Angeles at 8:00 A.M. to drive to...Ch. 2 - Julie drives 100 mi to Grandmother’s house. On the...Ch. 2 - Larry leaves home at 9:05 and runs at constant...Ch. 2 - FIGURE EX2.4 is the position-versus-time graph of...Ch. 2 - FIGURE EX2.5 shows the position graph of a...Ch. 2 - A particle starts from x0=10matt=0s and moves with...Ch. 2 - FIGURE EX2.7 is a somewhat idealized graph of the...Ch. 2 - FIGURE EX2.8 shows the velocity graph for a...Ch. 2 - FIGURE EX2.9 shows the velocity graph of a...Ch. 2 - FIGURE EX2.7 showed the velocity graph of blood in...Ch. 2 - Prob. 11EAPCh. 2 - FIGURE EX2.1 2 shows the velocity-versus-time...Ch. 2 - a. What constant acceleration, in SI units, must a...Ch. 2 - A jet plane is cruising at 300 m/s when suddenly...Ch. 2 - a. How many days will it take a spaceship to...Ch. 2 - Prob. 16EAPCh. 2 - A speed skater moving to the left across...Ch. 2 - A Porsche challenges a Honda to a 400 m race....Ch. 2 - Acar starts from rest at a stop sign. It...Ch. 2 - Prob. 20EAPCh. 2 - A student standing on the ground throws a ball...Ch. 2 - A rock is tossed straight up from ground level...Ch. 2 - 23. When jumping, a flea accelerates at an...Ch. 2 - Prob. 24EAPCh. 2 - A rock is dropped from the top of a tall building....Ch. 2 - A skier is gliding along at 3.0 m/s on horizontal,...Ch. 2 - A car traveling at 30 m/s runs out of gas while...Ch. 2 - Prob. 28EAPCh. 2 - A snowboarder glides down a 50-m-long, 15° hill....Ch. 2 - A small child gives a plastic frog a big push at...Ch. 2 - FIGURE EX2.31 shows the acceleration-versus-time...Ch. 2 - Prob. 32EAPCh. 2 - A particle moving along the x-axis has its...Ch. 2 - A particle moving along the x-axis has its...Ch. 2 - The position of a particle is given by the...Ch. 2 - The position of a particle is given by the...Ch. 2 - Particles A. B. and C move along the x-axis....Ch. 2 - A block is suspended from a spring, pulled down,...Ch. 2 - A particle’s velocity is described by the function...Ch. 2 - Prob. 40EAPCh. 2 - Prob. 41EAPCh. 2 - A particles velocity is given by the function vx=...Ch. 2 - A ball rolls along the smooth track shown in...Ch. 2 - Draw position, velocity, and acceleration graphs...Ch. 2 - FIGURE P2.45 shows a set of kinematic graphs for a...Ch. 2 - FIGURE P2.46 shows a set of kinematic graphs for a...Ch. 2 - The takeoff speed for an Airbus A320 jetliner is...Ch. 2 - You are driving to the grocery store at 20 m/s....Ch. 2 - You’re driving down the highway late one night at...Ch. 2 - Two cars are driving at the same constant speed on...Ch. 2 - You are playing miniature golf at the golf course...Ch. 2 - The minimum stopping distance for a car traveling...Ch. 2 - A cheetah spots a Thomson’s gazelle, its preferred...Ch. 2 - You are at a train station, standing next to the...Ch. 2 - A 200 kg weather rocket is loaded with 100 kg of...Ch. 2 - A 1000 kg weather rocket is launched straight up....Ch. 2 - A lead ball is dropped into a lake from a diving...Ch. 2 - A hotel elevator ascends 200 m with a maximum...Ch. 2 - A basketball player can jump to a height of 55 cm....Ch. 2 - You are 9.0 m from the door of your bus, behind...Ch. 2 - Ann and Carol are driving their cars along the...Ch. 2 - Amir starts riding his bike up a 200-m-long slope...Ch. 2 - A very slippery block of ice slides down a smooth...Ch. 2 - Bob is driving the getaway car after the big bank...Ch. 2 - One game at the amusement park has you push a puck...Ch. 2 - A motorist is driving at 20 m/s when she sees that...Ch. 2 - Nicole throws a ball straight up. Chad watches the...Ch. 2 - David is driving a steady 30 m/s when he passes...Ch. 2 - A cat is sleeping on the floor in the middle of a...Ch. 2 - Water drops fall from the edge of a roof at a...Ch. 2 - I was driving along at 20 m/s, trying to change a...Ch. 2 - As an astronaut visiting Planet X, you’re assigned...Ch. 2 - Your goal in laboratory is to launch a ball of...Ch. 2 - When a 1984 Alfa Romeo Spider sports car...Ch. 2 - The two masses in FIGURE P2.75 slide on...Ch. 2 - In Problems 76 through 79, you are given the...Ch. 2 - In Problems 76 through 79, you are given the...Ch. 2 - In Problems 76 through 79, you are given the...Ch. 2 - In Problems 76 through 79, you are given the...Ch. 2 - A rocket is launched straight up with constant...Ch. 2 - Careful measurements have been made of Olympic...Ch. 2 - III Careful measurements have been made of Olympic...Ch. 2 - A sprinter can accelerate with constant...Ch. 2 - A rubber ball is shot straight up from the ground...Ch. 2 - The Starship Enterprise returns from warp drive to...
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 distance of 90 meters separates two jetskis at Virginia Beach. Starting at rest, the jetskis accelerate at a constant rate of 0.7 m/s² towards each other. Starting at a midpoint between the two jetskis, a porpoise is seen swimming from one jetski to the other at a constant speed of 18 m/s. The porpoise continues swimming back and forth between the jetskis until they crash together. What is the total distance the porpoise travelled? 158.7 You are given the initial velocity Vo, acceleration a and the distance Ay. You have the speed of the porpoise, so you are looking for time. Use the equation that corresponds to these variables. meters Submit Answer Incorrect. Tries 1/2 Previous Tries Esc what is the speed of the jetskis when they crash together? m/s Submit Answer Tries 0/2 Post Discussion 39°F Wintry mix F3 F4 F5 F6 A F7 OL FB & F9 * FIO ► FII 99+ 31 F12 Ser Lk PriSc SysRa Pause Break Del Backspace ^o@d Pg Up Send Feedback Pg Dn 9:48 PM 2/12/2023 Endarrow_forwardThe elevators in the Landmark Tower in Yokohama, Japan are among the fastest in the world. They accelerate upward at 3.125 m/s^2 for 4.0 seconds to reach their final speed. if these elevators start from rest, what is their final speedarrow_forwardTwo ants pass each other one is moving along the negative x axis and one is moving at 45 degrees to the x axis. Ant 1 goes 0.032 and ant 2 goes 0.070 m/s. Ant going .070 m/s begins to accelerate as soon as the two pass each other. The acceleration is .001 m/s2. How far apart will the two ants be after 2 seconds?arrow_forward
- F1 @ 2 I F2 W 10. A person is driving along a straight highway at a speed of 22.0 m/s when the traffic light which is 43.0 m ahead turns yellow. Because of his "reaction time", there is a delay of 0.15 s before the man steps on the brake. The car then slows with a deceleration of 4.20 m/s². By how much distance does the driver miss the traffic light line? # 3 20 F3 E $ 4 800 F4 L m % 5 F5 T ^ 6 MacBook Air Y Submit Assignment & 7 44 F7 * 8 c FB - 9 DD F9 O ) 0 KL A F10 F11 + F12 83 11 delearrow_forwardAlexis moves with a constant speed of 1.40 m/s and passes an apartment building in a moment. Lourdes finds herself in front of a church and bikes out to meet Alexis just as he passes the apartment building. If the magnitude of Lourdes' acceleration is 0.125 m/s2 and the building is separated from the church by a distance ? = 400 m, calculate: a) How long does Alexis take to meet Lourdes? And How far does each of them travel until they meet?b) What speed is Alexis traveling when he meets Lourdes? And What speed is Lourdes traveling when she meets Alexis?c) Explain with arguments, which of the two will reach the other building first?arrow_forwardA Porsche challenges a Honda to a race. Because the Porsche’s acceleration of 3.5 m/s2 is larger than the Honda’s 3.0 m/s2, the Honda gets a 100-m head start — it begins 300 m from the finish line, while the Porsche begins 400 m from the finish line. Assume both cars maintain these accelerations throughout the entire race. Who wins, and by how much time?arrow_forward
- Two cars are heading towards one another. Car A is moving with an acceleration of aA = 13 m/s2. Car B is moving with an acceleration of aB = -7 m/s2. The cars are initially at rest and separated by a distance d = 1100 m on the x-axis. What is the displacement, in meters, of Car A? What is the displacement, in meters, of Car B? Now assume that both cars start with an initial velocity. Car A's initial velocity is v0A = 8 m/s and Car B's initial velocity is vB = -23 m/s. At what time, t2 in seconds, do they meet?arrow_forwardTwo cars A and B are travelling in the same directions along a straight highway. At a certain instant, car A is 400 m behind car B, where the speeds of the cars are 30 m/s for A and 60 m/s for B. At the same instant, car A accelerates at a constant rate of 4 m/s², while car B decelerates at a constant rate of 2 m/s². How long will it take for car A to overtake car B?arrow_forwardA racing car starts from rest at t = 0 and reaches a final speed at time t. II the acceleration of the car is constant during this time, which of the following statements are true? (a) The car travels a distance t. (b) The average speed of the car is /2. (c) The magnitude of the acceleration of the car is /t. (d) The velocity of the car remains constant, (e) None of statements (a) through (d) is true.arrow_forward
- Car A is traveling at 11.6 m/s and car B is traveling with a constant speed of 25.0 m/s. Car A is 300 meters behind car B when the driver of car A accelerates his car with a uniform forward acceleration of 2.40 m/s2. From the moment car A begins to accelerate, how long does it take car A to catch up with car B? Write the answer in seconds using three significant figures.arrow_forwardHi, I am doing problem number 2 from the end of the chapter questions in my textbook. The problem reads as such: "An 18-year-old runner can complete a 10.0-km course with an average speed of 4.39 m/s. A 50-year-old runner can cover the same distance with an average speed of 4.27 m/s. How much later (in seconds) should the younger runner start in order to finish the course at the same time as the older runner?" I am looking at the solution for the problem and I did everything right except the last step. The solution says to subtract the time found for the 18 year old to run 10km from the time found for the 50 year old to run 10km. However, I divided the anwers I found. Why are we subtracting the answers from one another and not dividing them? Thank you!arrow_forwardA popular web video shows a jet airplane, a car, and a motorcycle racing from rest along a runway . Initially the motorcycle takes the lead, but then the jet takes the lead, and finally the car blows past the motorcycle. Here let’s focus on the car and motorcycle and assign some reasonable values to the motion. The motorcycle first takes the lead because its (constant) acceleration am = 8.40 m/s2 is greater than the car’s (constant) acceleration ac = 5.60 m/s2, but it soon loses to the car because it reaches its greatest speed vm = 58.8 m/s before the car reaches its greatest speed vc= 106 m/s. How long does the car take to reach the motorcycle?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY