Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 2, Problem 61P
(a)
To determine
The displacementand average velocity for given interval of time.
(b)
To determine
A general expression for the displacement for given time interval.
(c)
To determine
Limiting processes for finding the instantaneous velocity.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The displacement (in feet) of a certain particle moving in a straight line is given by y =
(A) Find the average velocity for the time period beginning when t = 3 and lasting
(i) .01 s:
(ii) .005 s:
(iii.002 s:
(iv) .001 s:
NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using
a calculator.
(B) Estimate the instantaneous velocity when t = 3.
Answer:
2.68 0. CALC An object's velocity is measured to be v,(1) = a – Bt²,
.
4.00 m/s and B = 2.00 m/s. At t = 0 the object is at x = 0.
(a) Calculate the object's position and acceleration as functions of time.
(b) What is the object's maximum positive displacement from the origin?
where a =
At time t = 0 a particle starts moving along a line with equation of motion s(t) = t^3−4t^2+ 6, whereS is meters and t is in seconds.a) Give the velocity and acceleration functions.b) What is the velocity at time t = 2?c) When is the acceleration 2 m/s^2?
Chapter 2 Solutions
Physics for Scientists and Engineers, Vol. 1
Ch. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8PCh. 2 - Prob. 9PCh. 2 - Prob. 10P
Ch. 2 - Prob. 11PCh. 2 - Prob. 12PCh. 2 - Prob. 13PCh. 2 - Prob. 14PCh. 2 - Prob. 15PCh. 2 - Prob. 16PCh. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Prob. 24PCh. 2 - Prob. 25PCh. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - Prob. 31PCh. 2 - Prob. 32PCh. 2 - Prob. 33PCh. 2 - Prob. 34PCh. 2 - Prob. 35PCh. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - Prob. 39PCh. 2 - Prob. 40PCh. 2 - Prob. 41PCh. 2 - Prob. 42PCh. 2 - Prob. 43PCh. 2 - Prob. 44PCh. 2 - Prob. 45PCh. 2 - Prob. 46PCh. 2 - Prob. 47PCh. 2 - Prob. 48PCh. 2 - Prob. 49PCh. 2 - Prob. 50PCh. 2 - Prob. 51PCh. 2 - Prob. 52PCh. 2 - Prob. 53PCh. 2 - Prob. 54PCh. 2 - Prob. 55PCh. 2 - Prob. 56PCh. 2 - Prob. 57PCh. 2 - Prob. 58PCh. 2 - Prob. 59PCh. 2 - Prob. 60PCh. 2 - Prob. 61PCh. 2 - Prob. 62PCh. 2 - Prob. 63PCh. 2 - Prob. 64PCh. 2 - Prob. 65PCh. 2 - Prob. 66PCh. 2 - Prob. 67PCh. 2 - Prob. 68PCh. 2 - Prob. 69PCh. 2 - Prob. 70PCh. 2 - Prob. 71PCh. 2 - Prob. 72PCh. 2 - Prob. 73PCh. 2 - Prob. 74PCh. 2 - Prob. 75PCh. 2 - Prob. 76PCh. 2 - Prob. 77PCh. 2 - Prob. 78PCh. 2 - Prob. 79PCh. 2 - Prob. 80PCh. 2 - Prob. 81PCh. 2 - Prob. 82PCh. 2 - Prob. 83PCh. 2 - Prob. 84PCh. 2 - Prob. 85PCh. 2 - Prob. 86PCh. 2 - Prob. 87PCh. 2 - Prob. 88PCh. 2 - Prob. 89PCh. 2 - Prob. 90PCh. 2 - Prob. 91PCh. 2 - Prob. 92PCh. 2 - Prob. 93PCh. 2 - Prob. 94PCh. 2 - Prob. 95PCh. 2 - Prob. 96PCh. 2 - Prob. 97PCh. 2 - Prob. 98PCh. 2 - Prob. 99PCh. 2 - Prob. 100PCh. 2 - Prob. 101PCh. 2 - Prob. 102PCh. 2 - Prob. 103PCh. 2 - Prob. 104PCh. 2 - Prob. 105PCh. 2 - Prob. 106PCh. 2 - Prob. 107PCh. 2 - Prob. 108PCh. 2 - Prob. 109PCh. 2 - Prob. 110PCh. 2 - Prob. 111PCh. 2 - Prob. 112PCh. 2 - Prob. 113PCh. 2 - Prob. 114PCh. 2 - Prob. 115PCh. 2 - Prob. 116PCh. 2 - Prob. 117PCh. 2 - Prob. 118PCh. 2 - Prob. 119PCh. 2 - Prob. 120PCh. 2 - Prob. 121PCh. 2 - Prob. 122P
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
- The displacement of a particle is given by s=4t³-67t2 + 103t-66 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 14 seconds of motion. After you have made the plots, answer the questions. Questions: Att 3.7 sec, S= i Att - 6 sec, Att 10.1 sec, S= i SH i The velocity is zero when t = ft, v= i ft, v= i ft, v= i sec and when t= i ft/sec, a i ft/sec, a i ft/sec, a i sec ft/sec ft/sec ft/sec²arrow_forwardA person takes a trip, driving with a constant speed of 96.5 km/h, except for a 20.0-min rest stop. The person's average speed is 67.0 km/h. (a) How much time is spent on the trip? 1.03 Your incorrect answer may have resulted from roundoff error. Make sure you keep extra significant figures in intermediate steps of your calculation. h (b) How far does the person travel? 67.23 Your incorrect answer may have resulted from roundoff error. Make sure you keep extra significant figures in intermediate steps of your calculation. kmarrow_forwardThe acceleration of a particle is given by a = 2t-20, 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 so = -5 m, and the initial velocity is vo = 6 m/s. Once you have determined the functions of time, answer the questions. Questions: When t = 5.1 s, S= V = a = Mi MI i m m/s m/s²arrow_forward
- Pls help ASAParrow_forwardIn this problem you will determine the average velocity of a moving object from the graph of its position x(t)x(t) as a function of time ttt. A traveling object might move at different speeds and in different directions during an interval of time, but if we ask at what constant velocity the object would have to travel to achieve the same displacement over the given time interval, that is what we call the object's average velocity. We will use the notation vave[t1,t2]vave[t1,t2] to indicate average velocity over the time interval from t1 to t2. For instance, vave[1,3]vave[1,3] is the average velocity over the time interval from t=1 to t=3. find V(ave) [0,3]arrow_forwardNeeds Complete typed solution with 100 % accuracy.arrow_forward
- The displacement of a particle is given by s = 2t³ - 40t² + 84t - 54 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 16 seconds of motion. After you have made the plots, answer the questions. Questions: At t = 2.5 sec, At t = 9.3 sec, At t = 11.8 sec, S = S = S = M The velocity is zero when t = i ft, v = ft, v = ft, v = i i sec and when t = ft/sec, a = ft/sec, a = ft/sec, a = i MO i sec ft/sec ft/sec² ft/secarrow_forwardThe 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_forwardAn object's position as a function of time in one dimension is given by the expression; 3.89t2 + 2.22t + 7.48 where are constants have proper SI Units. What is the object's average velocity between the times t = 3.16 s and t = 8.38 s? Quantities and answer in 3 sig figsarrow_forward
- The functional relation between the displacement x in meters and the time t in seconds is given by x = At 2 + Bt + C where A, B, and C are constants. Find the functional relationship between the (a) velocity and the time, and (b) acceleration and the time. What are the values of the velocity and the acceleration at the instant t= 4seconds?arrow_forwardSlowing Down: The speed of an object moving through a viscous fluid is given byU(1) = A. c-br(a) If the numerical value of A (in SI units) is 5.20 and the numerical value of b (in SIunits) is 1.19, then what is the initial acceleration of the particle, at time / = 0?(b) How far does the particle move in the first 3.00 s?You may ignore gravity. The particle has the same density as the fluid.arrow_forwardA person who walks for exercise produces the position-time graph shown. Calculate the average velocity, including sign, for (a) segment A, (b) segment B, (c) segment C, and (d) segment D. +1.25 (a) Number i (b) Number i (c) Number i (d) Number i Position x (km) +1.00 +0.75 +0.50 +0.25 Units Units Units Units A B > C 0.20 0.40 0.60 0.80 1.00 Time (h) < Darrow_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