EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 23, Problem 21P
Use the following data to find the velocity and acceleration at
Time, t, s | 0 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 |
Position, x, m | 0 | 0.7 | 1.8 | 3.4 | 5.1 | 6.3 | 7.3 | 8.0 | 8.4 |
Use second-order correct
(a) Centered finite-difference,
(b) Forward finite-difference, and
(c) Backward finite-difference methods.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The velocity of a car travelling on the motorway at 15-minute intervals is as follows. Apply
1
2
3
4
7
8
Time in hours, t =
4
6.
4
4
4
4
4
4
Velocity in
Km/hr, V(t) =
100
90
115
120
80
70
60
40
50
an appropriate method to find the total distance travelled by the car in the 2-hours.
Period from t= to t =.
9/14
A jet fighter's position on an aircraft carrier's runway was timed during landing as the data table below:
Time t (sec.)
0.52
1.04
1.56
2.08
Distance from the end of the carrier x (m)
153
185
208
239
251
d² x
Find the acceleration
at:
dt2
i.
(t = 0.52)
ii.
(t = 2.08).
A computer Simulator of the flight of a baseball provided the data displayed in the accompanying
table for the range f (v, w) in feet of a ball hit with initial speed in ft/s and a back spin rate
rpm. Each ball is struck at an angle of 30° above the horizontal. Use the data and forward
difference to estimate
af
ἂν
-(150,3000) and -(150,3000)
ow
150-v in f/s 294
160
314
170
335
180
355
0w= in RPM
11
af
of (150,3000) =
Əv
41
af
Əw
(150,3000) =
1000
312
334
356
376
11
11
2000
333
354
375
397
3000
350
373
395
417
4000
367
391
414
436
Chapter 23 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 23 - 23.1 Compute forward and backward difference...Ch. 23 - 23.2 Repeat Prob. 23.1, but for evaluated at...Ch. 23 - 23.3 Use centered difference approximations to...Ch. 23 - Use Richardson extrapolation to estimate the first...Ch. 23 - Repeat Prob. 23.4, but for the first derivative of...Ch. 23 - 23.6 Employ Eq. (23.9) to determine the first...Ch. 23 - 23.7 Prove that for equispaced data points, Eq....Ch. 23 - Compute the first-order central difference...Ch. 23 - Prob. 9PCh. 23 - Develop a user-friendly program to apply a Romberg...
Ch. 23 - 23.11 Develop a user-friendly program to obtain...Ch. 23 - 23.12 The following data are provided for the...Ch. 23 - 23.13 Recall that for the falling parachutist...Ch. 23 - The normal distribution is defined as f(x)=12ex2/2...Ch. 23 - 23.15 The following data were generated from the...Ch. 23 - Evaluate f/x,f/y, and f/(xy) for the following...Ch. 23 - 23.17 Evaluate the following integral with...Ch. 23 - 23.18 Use the diff command in MATLAB and compute...Ch. 23 - The objective of this problem is to compare...Ch. 23 - Use a Taylor series expansion to derive a centered...Ch. 23 - Use the following data to find the velocity and...Ch. 23 - 23.22 A plane is being tracked by radar, and data...Ch. 23 - 23.23 Develop an Excel VBA macro program to read...Ch. 23 - Use regression to estimate the acceleration at...Ch. 23 - You have to measure the flow rate of water through...Ch. 23 - The velocity y (m/s) of air fl owing past a flat...Ch. 23 - Chemical reactions often follow the model:...Ch. 23 - 23.28 The velocity profile of a fluid in a...Ch. 23 - 23.29 The amount of mass transported via a pipe...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
|4.2| = ?
Basic Technical Mathematics
(a) Show that (x) = x2 is an explicit solution to xdydx = 2y on the interval (, ). (b) Show that (x) = ex x is...
Fundamentals of Differential Equations (9th Edition)
Analytic Functions. Find fz=ux,y+ivx,y with u or v as given. Check by the Cauchy Reimann equations for analyti...
Advanced Engineering Mathematics
The formula pH=log10(H+) provides the pH for a liquid, where H+ stands for the concentration of hydronium ions....
EBK ALGEBRA FOUNDATIONS
In Exercises 17—82, add or subtract as indicated. Simplify the result, if possible. 56. yy2+5y+6+4y2y6
Introductory Algebra for College Students (7th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 1. Let the velocity function of a moving object is V(t) = 7t3 + 5t2 - 4t. What is the function for the acceleration of the object at time t.arrow_forwardThe velocity function is an antiderivative of the acceleration function.arrow_forwardreview- Google Chrome lu.om/mod/quiz/review.php?attempt3D17273988cmid%3D870042 NING SYSTEM (ACADEMIC) b. False The correct answer is: True The displacement s of a particle moving in a straight line is given by s(t) = 3t +4 where s(t) is measured in meters and tin seconds. The average velocity between t = 4 and t = 8 is not the same as instantaneous velocity at t = 7. Select one: a. True b. Falsearrow_forward
- Suppose that a particle moves along a straight line with velocity v(t) = 7 – 5t, where 0 ≤ t ≤ 1 (in meters per second). Find the formula for the displacement of the particle and the total distance it has traveled at time t 1 seconds. = Displacement at time t is: Total distance traveled: meters in 1 secondsarrow_forwardA sky diver weighing 192 lb (including equipment) falls vertically downward from a very high altitude. Assume that the air resistance is proportional to the falling velocity with the constant k = 0.6, the acceleration due to gravity g = 32ft/sec2, and that the positive direction is downward. What is the terminal velocity of the sky diver if he/she never opens the parachute?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY