A rocket is launched vertically and at t-0, the rocket's engine shuts down. At that time, the rocket has reached an altitude of ho- 500 m and is rising at a velocity of to-125 m/s. Gravity then takes over. The height of the rocket as a function of time is: h(t)-ho+vot-st², 120 where g -9.81 m/s². The time t-0 marks the time the engine shuts off. After this time, the rocket continues to rise and reaches a maximum height of Amax meters at time t-max. Then, it begins to drop and reaches the ground at time t-tg. a. Create a vector for times from 0 to 30 seconds using an increment of 2s. b. Use a for loop to compute h(t) for the time vector created in Part (a). e. Create a plot of the height versus time for the vectors defined in Part (a) and (b). Mark the z and y axes of the plot using appropriate labels. d. Noting that the rocket reaches a maximum height, Amax, when the height function, h(t), attains a maxima, compute the time at which this occurs, fax, and the maximum height, Amax. Also, display the results to the command window. Note that this is obtained by setting dh dr -0. Hint: Use analytical expressions for this simple equation. No need to use Newton-Raphson or bisection
A rocket is launched vertically and at t-0, the rocket's engine shuts down. At that time, the rocket has reached an altitude of ho- 500 m and is rising at a velocity of to-125 m/s. Gravity then takes over. The height of the rocket as a function of time is: h(t)-ho+vot-st², 120 where g -9.81 m/s². The time t-0 marks the time the engine shuts off. After this time, the rocket continues to rise and reaches a maximum height of Amax meters at time t-max. Then, it begins to drop and reaches the ground at time t-tg. a. Create a vector for times from 0 to 30 seconds using an increment of 2s. b. Use a for loop to compute h(t) for the time vector created in Part (a). e. Create a plot of the height versus time for the vectors defined in Part (a) and (b). Mark the z and y axes of the plot using appropriate labels. d. Noting that the rocket reaches a maximum height, Amax, when the height function, h(t), attains a maxima, compute the time at which this occurs, fax, and the maximum height, Amax. Also, display the results to the command window. Note that this is obtained by setting dh dr -0. Hint: Use analytical expressions for this simple equation. No need to use Newton-Raphson or bisection
C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter1: Fundamentals Of C++ Programming
Section: Chapter Questions
Problem 2PP: (Conversion) An object’s polar moment of inertia, J, represents its resistance to twisting. For a...
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