Question: Determine the distance traveled from the following velocity data: (a) Use the trapezoidal rule. In addition, determine the average velocity. (b) Fit the data with

Determine the distance traveled from the following velocity data:

t v 12 5 6 3.25 4.5 5.5 7 6 7 8

(a) Use the trapezoidal rule. In addition, determine the average velocity.
(b) Fit the data with a cubic equation using polynomial regression. Integrate the cubic equation to determine the distance.

t v 12 5 6 3.25 4.5 5.5 7 6 7 8 8.5 8 6 8.5 9 10 7 7 5

Step by Step Solution

★★★★★

3.37 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Using the trapezoidal rule The average velocity is given by the ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Applied Numerical Methods Questions!

Determine the distance traveled for the following data: (a) Use the trapezoidal rule. (b) The best combination of the trapezoidal and Simpsons rules, and (C) Analytically integrating second- and...

Data set: WingLength2 If you completed the helicopter research project, this series of questions will help you further investigate the use of regression to determine the optimal wing length of paper...

With the addition of five pairs of observations(18,000, 39.2), (22,400, 27.9), (24,210, 22.3), (5,400, 11.7), and (9,340, 32.5)to the data in Problem 3 in Chapter 5, the accompanying computer output...

I need this question answered in Matlab. Please show your code, that is the only way this question can be answered correctly. The second photo is a pseudo code that shoiuld be followed thanks. Also...

Matlab code please You are required to create MATLAB codes to carry out the work. 19.8 Determine the distance traveled from the following velocity data: t 1 2 3.25 4.5 678 8.5 9 10 v 5 6 5.5 7 8.5867...

1. What is a tangent line and what is it used for? Sketch an example. 2. What value is the slope of a v vs t graph for a free-falling object? Why? 3. If wind resistance was included in the previous...

6. A satellite in space is travelling at 14 m/s in one direction. A thruster is applied for 30. s and the satellite is then travelling at 12 m/s in the opposite direction. What acceleration does the...

Complete the following Carolina Biological Lab: Kinematics. Please read the Distance Learning Lab Safety Agreement. By taking part in these labs, you agree to the terms in the Distance Learning...

PHYS 103 LAB REPORT: KINEMATICS ASSIGNMENT INSTRUCTIONS OVERVIEW Laboratory reports are an essential component of a physics education. INSTRUCTIONS Download this document and record the results for...

In Exercises 1 - 16, plot the point given in polar coordinates and then give three different expressions for the point such that (a) r 0 and 0 (c) r > 0 and 2 9. (20, 3) In...

A copper cylinder container has a mass of 3.40 kg and have a dimensions of 20.0 cm height and 12.0 cm diameter. It contains 2.00 kg of water (B of water = 207 x 10 ^-6 / C) . Both having a...

Tosca Beverages reports the following information for July: Units produced and sold . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18,800 Per unit revenue and costs: Sales revenue. . . . . ....

Smith is a portfolio manager. A client tells informs Smith that he / she will compensate Smith beyond the compensation of the firm on the basis of the capital appreciation of the portfolio each year....

What are the various subject areas of supply research? Which area do you think would be most productive in (a) the short run and (b) the long run?

Develop, debug, and test a program in either a high-level language or macro language of your choice to implement Lagrange interpolation. Base it on the pseudocode from Figure. Test it by duplicating...

A useful application of Lagrange interpolation is called a table look-up. As the name implies, this involves looking-up an intermediate value from a table. To develop such an algorithm, the table of...

Develop, debug, and test a program in either a high-level language or macro language of your choice to implement cubic spline interpolation based on Figure. Test the program by duplicating Example...

The international fisher effect is calculated by assuming what? None of these answers are correct The real rates of interest on similar securities are the same between two countries Any forward...

A beauty product company is developing a new fragrance named Happy Forever. There is a probability of 0.51 that consumers will love Happy Forever, and in this case, annual sales will be 1.05 million...

Ralph Bellamy it considering borrowing $20,000 for a year from a bank that has offered the following alternatives: An interest payment of $1, 800 at the end of the year. An interest payment of 8...