Essential University Physics: Volume 1 (3rd Edition)
3rd Edition
ISBN: 9780321993724
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 2, Problem 8FTD
Starting from rest, an object undergoes acceleration given by a = bt, where t is time and b is a constant. Can you use bt for a in Equation 2.10 to predict the object’s position as a function of time? Why or why not?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Starting from rest, a particle moving in a straight line has an acceleration of a = (2t−6)m/s^2
,
where t is in seconds. What is the particle’s velocity when t = 6s, and what is its position
when t = 11s? Create a plot for position, velocity, and acceleration versus time, from 0-15s.
(Use integration.)
Concept Simulation 2.3 offers a useful review of the concepts central to this problem. An astronaut on a distant planet wants to
determine its acceleration due to gravity. The astronaut throws a rock straight up with a velocity of +12.9 m/s and measures a time
of 24.8 s before the rock returns to his hand. What is the acceleration (magnitude and direction) due to gravity on this planet?
(positive = up, negative = down)
Number
-48.2
Units
m/s^2
Alice is riding a bike at 12 mph, but decides to sprint. She takes 0.7 s to accelerate to 19 mph. At constant acceleration, calculate her acceleration, a/(ft/s2). (Here are possibly convenient conversion aids: 60 mph = 1 mi/min = 88 ft/s. This equation is exact. You may wish to verify the equation. One mile = 60*88 ft, and one hour = 60*60 s.)
Chapter 2 Solutions
Essential University Physics: Volume 1 (3rd Edition)
Ch. 2.1 - We just described three trips from Houston to Des...Ch. 2.2 - The figures show position-versus-time graphs for...Ch. 2.3 - An elevator is going up at constant speed, slows...Ch. 2.5 - Standing on a roof, you simultaneously throw one...Ch. 2.6 - The graph shows acceleration versus time for three...Ch. 2 - Under what conditions are average and...Ch. 2 - Does a speedometer measure speed or velocity?Ch. 2 - You check your odometer at the beginning of a days...Ch. 2 - Consider two possible definitions of average...Ch. 2 - Is it possible to be at position x = 0 and still...
Ch. 2 - Is it possible to have zero velocity and still be...Ch. 2 - If you know the initial velocity v0 and the...Ch. 2 - Starting from rest, an object undergoes...Ch. 2 - In which of the velocity-versus-time graphs shown...Ch. 2 - If you travel in a straight line at 50 km/h for 1...Ch. 2 - If you travel in a straight line at 50 km/h for 50...Ch. 2 - In 2009, Usain Bolt of Jamaica set a world record...Ch. 2 - The standard 26-mile, 385-yard marathon dates to...Ch. 2 - Starting front home, you bicycle 24 km north in...Ch. 2 - The Voyager 1 spacecraft is expected to continue...Ch. 2 - In 2008, Australian Emma Snowsill set an...Ch. 2 - Taking Earths orbit to be a circle of radius 1.5 ...Ch. 2 - Whats the conversion factor from meters per second...Ch. 2 - On a single graph, plot distance versus time for...Ch. 2 - For the motion plotted in Fig. 2.15, estimate (a)...Ch. 2 - A model rocket is launched straight upward. Its...Ch. 2 - A giant eruption on the Sun propels solar material...Ch. 2 - Starting from rest, a subway train first...Ch. 2 - A space shuttles main engines cut off 8.5 min...Ch. 2 - An egg drops from a second-story window, taking...Ch. 2 - An airplanes takeoff speed is 320 km/h. If its...Ch. 2 - ThrustSSC, the worlds first supersonic car,...Ch. 2 - Youre driving at 70 km/h when you apply constant...Ch. 2 - Prob. 29ECh. 2 - An X-ray tube gives electrons constant...Ch. 2 - A rocket rises with constant acceleration to an...Ch. 2 - Starting from rest, a car accelerates at a...Ch. 2 - A car moving initially at 50 mi/h begins slowing...Ch. 2 - In a medical X-ray tube, electrons are accelerated...Ch. 2 - Californias Bay Area Rapid Transit System (BART)...Ch. 2 - Youre driving at speed v0 when you spot a...Ch. 2 - You drop a rock into a deep well and 4.4 s later...Ch. 2 - Your friend is sitting 6.5 m above you on a tree...Ch. 2 - A model rocket leaves the ground, heading straight...Ch. 2 - A foul ball leaves the bat going straight up at 23...Ch. 2 - A Frisbee is lodged in a tree 6.5 m above the...Ch. 2 - Space pirates kidnap an earthling and hold him on...Ch. 2 - You allow 40 min to drive 25 mi to the airport,...Ch. 2 - A base runner can get from first to second base in...Ch. 2 - You can run 9.0 m/s, 20% faster than your brother....Ch. 2 - A jetliner leaves San Francisco for New York, 4600...Ch. 2 - An objects position is given by x = bt + ct3 where...Ch. 2 - An objects position as a function of time t is...Ch. 2 - In a drag race, the position of a car as a...Ch. 2 - Squaring Equation 2.7 gives an expression for v2....Ch. 2 - During the complicated sequence that landed the...Ch. 2 - The position of a car in a drag race is measured...Ch. 2 - A fireworks rocket explodes at a height of 82.0 m,...Ch. 2 - The muscles in a grasshoppers legs can propel the...Ch. 2 - On packed snow, computerized antilock brakes can...Ch. 2 - A particle leaves its initial position x0 at time...Ch. 2 - A hockey puck moving at 32 m/s slams through a...Ch. 2 - Amtraks 20th-Century Limited is en route from...Ch. 2 - A jetliner touches down at 220 km/h and comes to a...Ch. 2 - A motorist suddenly notices a stalled car and...Ch. 2 - A racing car undergoing constant acceleration...Ch. 2 - The maximum braking acceleration of a car on a dry...Ch. 2 - After 35 min of running, at the 9-km point in a...Ch. 2 - Youre speeding at 85 km/h when you notice that...Ch. 2 - Airbags cushioned the Mars rover Spirits landing,...Ch. 2 - Calculate the speed with which cesium atoms must...Ch. 2 - A falling object travels one-fourth of its total...Ch. 2 - Youre on a NASA team engineering a probe to land...Ch. 2 - Youre atop a building of height h, and a friend is...Ch. 2 - A castles defenders throw rocks down on their...Ch. 2 - Two divers jump from a 3.00-m platform. One jumps...Ch. 2 - A balloon is rising at 10 m/s when its passenger...Ch. 2 - Landing on the Moon, a spacecraft fires its...Ch. 2 - Youre at mission control for a rocket launch,...Ch. 2 - Youre an investigator for the National...Ch. 2 - You toss a book into your dorm room, just clearing...Ch. 2 - Consider an object traversing a distance L, part...Ch. 2 - A particles position as a function of time is...Ch. 2 - Ice skaters, ballet dancers, and basketball...Ch. 2 - Youre staring idly out your dorm window when you...Ch. 2 - A police radars effective range is 1.0 km, and...Ch. 2 - An object starts moving in a straight line from...Ch. 2 - Youre a consultant on a movie set, and the...Ch. 2 - (a) For the ball in Example 2.6, find its velocity...Ch. 2 - Your roommate is an aspiring novelist and asks...Ch. 2 - You and your roommate plot to drop water balloons...Ch. 2 - Derive Equation 2.10 by integrating Equation 2.7...Ch. 2 - An objects acceleration increases quadratically...Ch. 2 - An objects acceleration is given by the expression...Ch. 2 - An objects acceleration decreases exponentially...Ch. 2 - A ball is dropped from rest at a height li0 above...Ch. 2 - A wildlife biologist is studying the hunting...Ch. 2 - A wildlife biologist is studying the hunting...Ch. 2 - A wildlife biologist is studying the hunting...Ch. 2 - A wildlife biologist is studying the hunting...Ch. 2 - A wildlife biologist is studying the hunting...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Description of Motion: Move toward the detector with decreasing speed, then just as you have come to rest, move...
Tutorials in Introductory Physics
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 charged slab extends infinitely in two dimensions and has thickness d in the third dimension, as shown in Fig...
Essential University Physics: Volume 2 (3rd Edition)
11. (I) (a) Calculate the total force of the atmosphere acting on the top of a table that measures 1.7 m x 2.6 ...
Physics: Principles with Applications
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 car moves along a straight road. It moves at a speed of 50 km/hr for 4 minutes, then during the next 4 minutes it gradually speeds up to 100 km/hr, continues at this speed for 4 minutes, then takes 4 minutes to gradually slow to a complete stop. Make a sketch like the figures in Section 1.2 of your textbook, marking dots for the position along the road every minute.arrow_forwardA jet plane comes in for a landing with a speed of 120 m/s. The length of the runway is 500 m. From the instant the plane touches the runway, what is the magnitude of the acceleration needed to stop within the runway? Write your answer in terms of m/s2.arrow_forwardAn object moves in one dimensional motion with constant acceleration a = 4.5 m/s². At time t = 0 s, the object is at xo = 2.9 m and has an initial velocity of vo = 4 m/s. How far will the object move before it achieves a velocity of v = 7 m/s? Your answer should be accurate to the nearest 0.1 m.arrow_forward
- Pedro is driving a motorcycle along Espana boulevard. His position (in meters) at any given time is given by . x(t)=1.124t^2 +6.022. His speed at ten seconds is m/s. His acceleration at ten seconds is m/s2. Marites is also driving her motorcycle along Espana. Her position function is of the form . What is the coefficient if her acceleration at ten seconds is 2.04 m/s2? m/s4arrow_forwardA thief is trying to escape from a parking garage after completing a robbery, and the thief’s car is speeding (v = 18.5 m/s) toward the door of the parking garage (Fig. P2.60). When the thief is L = 30 m from the door a police officer flips a switch to close the garage door. The door starts at a height of 5.5 m and moves downward at 0.5 m/s. If the thief’s car is 1.4 m tall, will the thief escape? (Find the height of the door above the ground).arrow_forward2.37. A car accelerates from rest on a straight road. A short time later, the car decelerates to a stop and then returns to its original position in a similar manner, by speeding up and then slowing to a stop. Which of the following five coordinate versus time graphs best describes the motion? ch02/image5.jpeg W K n さ || in А IV =arrow_forward
- The acceleration of a particle is given by a = 2t - 15, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = 0 is 5o = -6 m, and the initial velocity is vo= 5 m/s. Once you have determined the functions of time, answer the questions. Questions: When t = 4.9 s, S= i V= a= i i m m/s m/s²arrow_forwardWhen jumping, a flea accelerates at an astounding 1,000 m/s2 , but over only the very short distance of 0.5 mm. If a flea jumps straight up, and if air resistance is neglected (a rather poor approximation in this situation), how high does the flea go (write your answer in centimeters)? Acceleration due to gravity g= 9.8 m/s2.arrow_forwardAt time t = 0 s, an object is observed at x = 0 m; and its position along the x axis follows this expression: x = –4t + t2, where the units for distance and time are meters and seconds, respectively. What is the object's average speed between t = 0 s and t = 3.0 s ?arrow_forward
- The velocity of a rat traveling on a straight line is v(s)=1/(s+1), where the velocity is in meters per second and s is in meters. the rat travels 10 meters from s=0 to s=10m. Assume s=0 when t=0. 1. The total time it took for the rat to reach s=10m is ____s. 2. The expression for the position as a function of time is s(t)=_____. 3. The absolute maximum (maximum of absolute values) acceleration of the rat during the 10-meter trip is ____ m/s^2. Please help solve these questions, the solutions are given below I'm just not sure how to solve it. (Use paper sheet ,Not Typewritten) The solutions are: 1) 110 2)(sqrt(t+0.25))-0.5 3)1.00arrow_forwardPedro is driving a motorcycle along Espana boulevard. His position (in meters) at any given time is given by . Pedro's initial position is m. His position at ten seconds is m. His speed at ten seconds is m/s. His acceleration at ten seconds is m/s2. Marites is also driving her motorcycle along Espana. Her position function is of the form . What is the coefficient if her acceleration at ten seconds is 2.04 m/s2? m/s4arrow_forwardA jeep travels a distance d=22.1m in the positive x direction in a time t1=20.2s, at which point the jeep brakes, coming to rest in t2=7.38s. 1. What was the jeep's instantaneous velocity in the horizontal direction, in meters per second, when it began braking? 2. Using the result from question 1, what was the jeep's horizontal component of acceleration, in meters per squared second, during the braking period?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