The governing equation for a projectile shot vertically upward is d'y dt2 -mg - C|VV y(0)...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The governing equation for a projectile shot vertically upward is d'y dt2 -mg - C|V\V y(0) = 0 and y'(0) = V, where m is the mass of the projectile (kg), y(t) is the height (m), g is the acceleration of gravity (9.80665 m/s2). C is an aerodynamie drag parameter, and V-dyidt is the velocity. For m- 10.0kg, C-0.IN-s'/m, and Vo- 500.0 m/s, calculate (a) the maximum height attained by the projectile, (b) the time required to reach the maximum height, and (c) the time required to return to the original elevation. In solving the problem, you should clearly explain and justify the following: 1. Choose a numerical method to solve this problem. State what method you are using and explain how it was derived and the error associated with the method. 2. Do you expect any issues with the convergence of your method? The governing equation for a projectile shot vertically upward is d'y dt2 -mg - C|V\V y(0) = 0 and y'(0) = V, where m is the mass of the projectile (kg), y(t) is the height (m), g is the acceleration of gravity (9.80665 m/s2). C is an aerodynamie drag parameter, and V-dyidt is the velocity. For m- 10.0kg, C-0.IN-s'/m, and Vo- 500.0 m/s, calculate (a) the maximum height attained by the projectile, (b) the time required to reach the maximum height, and (c) the time required to return to the original elevation. In solving the problem, you should clearly explain and justify the following: 1. Choose a numerical method to solve this problem. State what method you are using and explain how it was derived and the error associated with the method. 2. Do you expect any issues with the convergence of your method?
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
1. Derive the governing equation for beam structures (as shown in Fig. 1) by differential formulation and write down the boundary conditions. 2. Following Problem 1, derive the governing equation by...
-
A projectile of mass m = 0.11 kg shot vertically upward with initial velocity v(0) = 8 m/s is slowed due to the force of gravity, Fg = mg, and due to air resistance, Fr = kv|v|, where g = 9.8 m/s2...
-
The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level with an initial velocity of 24.5 m/s is h = 2 + 24.5t - 4.9t2 after seconds. (a) Find the velocity...
-
Consider the frequency demodulation scheme in Figure in which the incoming FM signal s (t) is passed through a delay line that produces a phase-shift of ?/2 radians at the carrier frequency ? c . The...
-
What is a placebo, and why is it important in an experiment to test the effectiveness of a drug?
-
Which of the indicators in Fig. could be used for doing the titrations in Exercises 65 and 67? Fig Pheadl Red
-
An inventor claims to have developed an engine that takes in \(100 \mathrm{MJ}\) of heat at \(400 \mathrm{~K}\), rejects \(40 \mathrm{MJ}\) of heat at \(200 \mathrm{~K}\), and delivers \(15...
-
The Cash account of Vincente Corp. reported a balance of $3,640 at August 31. Included were outstanding checks totaling $800 and an August 31 deposit of $300 that did not appear on the bank...
-
Companies often update their website links to redirect users to new web pages that may feature a unique promotion or to transition to a new web experience. How would an attacker take advantage of...
-
A firm must decide between constructing a new facility or renting a comparable office space. There are two random outcomes for acquiring space, as shown in Figure PI 2-25. Each would accommodate the...
-
Calculate minimum energy required to fuse two protons.
-
Capital balances in Blossom Co. are Lango $29,600, Osio $22,200, and Fernetti $14,800, Fernetti receives $17,800 from partnership assets in withdrawing from the firm. Lango and Oslo each receive 50%...
-
Give me 2 threats/opportunity of Jollibee corporation in terms either inflation/interest rate/wages/regulation/taxes, gross domestic product, with strong basis/table (with reference)
-
Some financial information for each of three companies is reflected below in columns A, B, and C. Use your knowledge of CVP relationships to fill in the missing pieces numbered (1) through (9)....
-
The investments of Harlon Enterprises included the following cost and fair value amounts ($ in millions): Fair Value, Dec. 31 Equity Investments A Corporation shares B Corporation shares Cost $ 40...
-
During February, $ 1 8 9 , 0 0 0 was paid to creditors on account, and purchases on account were $ 2 0 9 , 4 0 0 . Assuming the February 2 8 balance of Accounts Payable was $ 6 5 , 4 0 0 , determine...
-
Someone once said, "failure to plan is a plan to fail". How might this apply to running a business? What is a feasibility study relative to a business plan? Describe the meaning of a "breakeven...
-
Decades after the event, Johnson & Johnson (J&J), the 130-year-old American multinational, is still praised for swiftly The company indicated that its response was based on the expectations set forth...
-
Determine whether the differential equation is linear. a. y' + y = 1 b. y' = x - y c. xy' + y = x d. sin x dy / dx (cos x) y = sin(x2) e. (1 + t) du / dt + u = 1 + t, t > 0
-
If f(x) = ln x/ x2, find f'(1).
-
The figure shows a circuit containing an electromotive force, a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (). The voltage drop across the capacitor is...
-
How closely related do you believe language and thought to be? During the production of Chapter 3 in this book, the authors and editors debated whether we should use the word "autistics" or the...
-
When did human language originate?
-
Describe American styles of nonverbal communication. Are there different styles of nonverbal communication in different areas of the United States?
Study smarter with the SolutionInn App