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Aerospace engineers sometimes compute the trajectories of projectiles such as rockets. A related problem deals with the trajectory of a thrown ball. The trajectory of a ball is defined by the (x,y) coordinates as shown in the figure below. The trajectory model can be modelled as: y=tan(0) x- 9 2v cos² (0) x² + yo where 8, is the throwing angle in degrees, vo is the initial velocity, yo is the thrower's elevation, x is the distance from the thrower to the catcher and y is the catcher's elevation, g is the gravitational acceleration (g=9.81 ms²). A. Use the secant method to find the required throwing angle given vo =20m/s, yo-2m, to reach a catcher at point x=35m, y=1m. Use 0 = 15 and 0-1 = 60 with a precision of 1e-4. Use fprintf to print the initial throwing angle required and the number of iterations taken. B. Also, plot the root-finding equation against the initial throwing angles of 0 ≤ 0 ≤ 60. Mark the estimated root with a black diamond.

Aerospace engineers sometimes compute the trajectories of projectiles such as rockets. A related problem deals with the trajectory of a thrown ball. The trajectory of a ball is defined by the (x,y) coordinates as shown in the figure below. The trajectory model can be modelled as: y=tan(0) x- 9 2v cos² (0) x² + yo where 8, is the throwing angle in degrees, vo is the initial velocity, yo is the thrower's elevation, x is the distance from the thrower to the catcher and y is the catcher's elevation, g is the gravitational acceleration (g=9.81 ms²). A. Use the secant method to find the required throwing angle given vo =20m/s, yo-2m, to reach a catcher at point x=35m, y=1m. Use 0 = 15 and 0-1 = 60 with a precision of 1e-4. Use fprintf to print the initial throwing angle required and the number of iterations taken. B. Also, plot the root-finding equation against the initial throwing angles of 0 ≤ 0 ≤ 60. Mark the estimated root with a black diamond.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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CREATE A FUNCTION FILE OF SECANT METHOD AND THEN CALL THE FUNCTION USING A SEPERATE M FILE

Aerospace engineers sometimes compute the trajectories of projectiles such as rockets. A related problem deals with the trajectory of a thrown ball. The trajectory of a ball is defined by the (x,y) coordinates as shown in the figure below. The trajectory model can be modelled as: y=tan(0) x- 9 2v cos² (0) x² + yo where 8, is the throwing angle in degrees, vo is the initial velocity, yo is the thrower's elevation, x is the distance from the thrower to the catcher and y is the catcher's elevation, g is the gravitational acceleration (g=9.81 ms²). A. Use the secant method to find the required throwing angle given vo=20m/s, y₁=2m, to reach a catcher at point x=35m, y=1m. Use 0₁ = 15 and 0-1 = 60 with a precision of 1e-4. Use fprintf to print the initial throwing angle required and the number of iterations taken. B. Also, plot the root-finding equation against the initial throwing angles of 0 ≤ 0 ≤ 60. Mark the estimated root with a black diamond.
Transcribed Image Text:Aerospace engineers sometimes compute the trajectories of projectiles such as rockets. A related problem deals with the trajectory of a thrown ball. The trajectory of a ball is defined by the (x,y) coordinates as shown in the figure below. The trajectory model can be modelled as: y=tan(0) x- 9 2v cos² (0) x² + yo where 8, is the throwing angle in degrees, vo is the initial velocity, yo is the thrower's elevation, x is the distance from the thrower to the catcher and y is the catcher's elevation, g is the gravitational acceleration (g=9.81 ms²). A. Use the secant method to find the required throwing angle given vo=20m/s, y₁=2m, to reach a catcher at point x=35m, y=1m. Use 0₁ = 15 and 0-1 = 60 with a precision of 1e-4. Use fprintf to print the initial throwing angle required and the number of iterations taken. B. Also, plot the root-finding equation against the initial throwing angles of 0 ≤ 0 ≤ 60. Mark the estimated root with a black diamond.
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