MATLAB

Problem 1 (100 pts)

This week you will repeat the second problem from Week 8 (the problem is restated below for your convenience) but you will add a GUI (without using guide) for the user to control the execution of the program. Your program should do the following:

Create a figure that contains a plotting area and user interface controls

Allow the user to input the initial velocity of the projectile through the GUI

Allow the user to input the angle of the projectile through the GUI

Allow the user to choose whether to plot the solution considering the wind or without considering the wind

Allow the user to plot the chosen solution

Your GUI should have at least the features shown below

Problem statement

A projectile is fired with an initial velocity of 250 m/s at an angle relative to the ground. The projectile is aimed directly in the y direction, as shown in the figure below. Because of a strong wind blowing in the negative x direction, the projectile also moves in this direction at a constant speed of 30 m/s.

The initial velocity of the projectile is

and

while in the x direction we have a constant . The total flight time is

The velocity of the projectile in the vertical direction (the other two are known) is given by

while the position is given by

and