Create a MATLAB function file that takes initial velocity, initial angle of firing, final time, and gravitational constant as inputs. As outputs, your function should return projectile x and y positions as a function of time. Create a script where you define the function inputs, call the function, and then use the function to plot projectile motion for the initial angle a from 20 to 70 in increments of 5, over a time from 0 to 45 seconds. Use your code to verify that for a projectile with an initial velocity of 800 ft/s, (xB,yB) = (12000, 2000) ft is attained for two initial angles of firing: a = 29.5° and a = 70°. This verification should be shown using a plot, with legend and x and y axis labels.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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ChapterMA: Math Assessment
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Matlab code please

**Projectile Motion with MATLAB: Instructions and Verification**

**(a)** Create a [MATLAB function file](#) that takes initial velocity, initial angle of firing, final time, and gravitational constant as inputs. As outputs, your function should return projectile x and y positions as a function of time.

**(b)** Create a script where you define the function inputs, call the function, and then use the function to plot projectile motion for the initial angle α from 20 to 70 in increments of 5, over a time from 0 to 45 seconds.

**(c)** Use your code to verify that for a projectile with an initial velocity of 800 ft/s, \((x_B, y_B) = (12000, 2000)\) ft is attained for two initial angles of firing: \(\alpha = 29.5^\circ\) and \(\alpha = 70^\circ\). This verification should be shown using a plot, with legend and x and y axis labels.

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**Diagram Explanation:**
- **Figure Description:** The image includes a projectile motion diagram. The projectile is launched from point A with an initial speed of 800 ft/s at angles α (29.5° and 70°). 
- **Trajectory:** The path is shown forming an arc and reaching point B, which is located 12,000 feet horizontally and 2,000 feet vertically from the starting point A.
Transcribed Image Text:**Projectile Motion with MATLAB: Instructions and Verification** **(a)** Create a [MATLAB function file](#) that takes initial velocity, initial angle of firing, final time, and gravitational constant as inputs. As outputs, your function should return projectile x and y positions as a function of time. **(b)** Create a script where you define the function inputs, call the function, and then use the function to plot projectile motion for the initial angle α from 20 to 70 in increments of 5, over a time from 0 to 45 seconds. **(c)** Use your code to verify that for a projectile with an initial velocity of 800 ft/s, \((x_B, y_B) = (12000, 2000)\) ft is attained for two initial angles of firing: \(\alpha = 29.5^\circ\) and \(\alpha = 70^\circ\). This verification should be shown using a plot, with legend and x and y axis labels. --- **Diagram Explanation:** - **Figure Description:** The image includes a projectile motion diagram. The projectile is launched from point A with an initial speed of 800 ft/s at angles α (29.5° and 70°). - **Trajectory:** The path is shown forming an arc and reaching point B, which is located 12,000 feet horizontally and 2,000 feet vertically from the starting point A.
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