Use MATLAB or Octave to solve the problems unless mentioned otherwise. 1. A physical model for...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Use MATLAB or Octave to solve the problems unless mentioned otherwise. 1. A physical model for free fall is z = gt2, where z = z(t) is the height, t is the time, and g is the gravitational acceleration. The gravitational acceleration can be determined by carrying out the following experiment. A sandbag is dropped from N different heights 2,, i = 1,..., N, and the times t,, i = 1,..., N, required for the sandbag to reach the ground are measured. There is assumed to be an additive random error in the measurement of height. In that case, the observation model can be written in the form of z h(0;t)+v, where is the unknown parameter vector and vis the random error. Write the observation models (pen and paper) for the following cases by treating systematic errors as model parameters when 1 (a) there is a systematic error 20 in the measurement of height, that is Zobs = Zreal 20. (b) there is a systematic error to in the measurement of time, that is tobs = treal + to, and (c) there is additive systematic errors in the measurements of both height and time. Simulate the effects of errors in all above mentioned cases by using MATLAB. Visualize and explain the simulation results. How would you solve the value of g by using the model? Use MATLAB or Octave to solve the problems unless mentioned otherwise. 1. A physical model for free fall is z = gt2, where z = z(t) is the height, t is the time, and g is the gravitational acceleration. The gravitational acceleration can be determined by carrying out the following experiment. A sandbag is dropped from N different heights 2,, i = 1,..., N, and the times t,, i = 1,..., N, required for the sandbag to reach the ground are measured. There is assumed to be an additive random error in the measurement of height. In that case, the observation model can be written in the form of z h(0;t)+v, where is the unknown parameter vector and vis the random error. Write the observation models (pen and paper) for the following cases by treating systematic errors as model parameters when 1 (a) there is a systematic error 20 in the measurement of height, that is Zobs = Zreal 20. (b) there is a systematic error to in the measurement of time, that is tobs = treal + to, and (c) there is additive systematic errors in the measurements of both height and time. Simulate the effects of errors in all above mentioned cases by using MATLAB. Visualize and explain the simulation results. How would you solve the value of g by using the model?
Expert Answer:
Related Book For
Comparative international accounting
ISBN: 978-0273703570
9th Edition
Authors: Christopher nobes, Robert parker
Posted Date:
Students also viewed these programming questions
-
"internet radios" for streaming audio, and personal video recorders and players. Describe design and evaluation processes that could be used by a start-up company to improve the usability of such...
-
QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...
-
Graph the sets of points whose polar coordinates satisfy the equations and inequalitie. 0 , r = 1
-
Construct a Huffman code for the letters of the English alphabet where the frequencies of letters in typical English text are as shown in this table. Suppose that m is a positive integer with m ¥...
-
Eric Williams is a cost accountant and business analyst for Diamond Design Company (DDC), which manufactures expensive brass doorknobs. DDC uses two direct-cost categories: direct materials and...
-
A \(10-\mathrm{kg}\) cart is connected to a \(20-\mathrm{kg}\) cart by a relaxed spring of spring constant \(1000 \mathrm{~N} / \mathrm{m}\), and both carts are placed on a low-friction track. You...
-
The Dollar Stores cost structure is dominated by variable costs with a contribution margin ratio of .30 and fixed costs of $30,000. Every dollar of sales contributes 30 cents toward fixed costs and...
-
6. Mrs. Rachel purchased a new car. The value, V, of the car can be modelled by the relation V = 49 100(0.945)", where n is the number of years since the car was purchased. a. What did Mrs. Rachel...
-
Figure Q2 shows a container of 4 m volume filled with air at a temperature of 20 C and the absolute pressure of 200 kPa. If the temperature of the air in a container rises to 50 C, calculate the mass...
-
On August 6, you go long one IMM yen futures contract for Yen 12,500,000 at an opening price of $.00812 with a performance bond of $4,590 and a maintenance performance bond of $3,400. The settlement...
-
A firm has EBIT of $29 million, interest expense of $4.5 million, and pays taxes of $8 million. If the firm has 15 million shares outstanding, what is the firm's EPS? OA. $1.10 B. $1.93 C. $0.91 D....
-
Based on the article: "HOW DO CFOSMAKE CAPITAL BUDGETING AND CAPITAL STRUCTURE DECISIONS?" Explain the most popular Capital Budgeting Technique?
-
15kg of block is shot on the frictionless inclined plane from an initial position that is distance d=116 cm from the end of relaxed spring with spring constant, k=100N/m. Block hits the spring and...
-
You want to create a portfolio equally as risky as the market, and you have $500,000 to invest. Information about the possible investments is given below: Asset Investment Beta 132,000 Stock A $ .77...
-
For each item shown below, classify it as a product cost or a period cost, by placing an X in the appropriate column. For each item that is a product cost, also indicate whether it is a direct cost...
-
Baxter, Inc., owns 90 percent of Wisconsin, Inc., and 20 percent of Cleveland Company. Wisconsin, in turn, holds 60 percent of Clevelands outstanding stock. No excess amortization resulted from these...
-
Figure \(\mathrm{P} 10. 16\) represents two stroboscopic pictures (taken at the same flash rate) of a block moving along a ramp that exerts a frictional force on the block. In one sketch, the block...
-
A factory worker pulls on a rope attached to a pallet loaded with a crate, dragging the combination at constant speed across a rough factory floor. The tension in the rope acts horizontally on the...
-
A worker places a circular saw on top of a long board that is lying on the floor. Then she and a coworker lift the ends of the board and carry it across the construction site, placing it across two...
Study smarter with the SolutionInn App