Create a script that does the actions listed below. Make sure to include a proper header including your

name at the top of the script and publish the script into a pdf file. Be sure to follow the homework

requirements.

(30 Points) The trajectory of a toy missile in (X.) coordinates can be modeled as the parabola y(x) = x + x + 19 where cos a, tance) ayo and % = 5 m is the initial elevation, 0, is the initial angle of the missile in radians, *, -50 m/s is the initial velocity the horizontal distance the missile fles is 200m, the missie hits a practice target at Im above the ground. The missile will be launched on Venus where the acceleration due to gravity is 8.87 m/s? a Since the only unknown in equation [1] is the initial angle .. rearrange equation [] to be in the form of a function of , and plot it for for 10S S 80 Be sure to label the axes and turn on the grid (see help on the grid function). Note that xlabel('\theta) will produce a on the x axis. Even though 8, is in radians, the x axis should be in degrees. Also note that holding down the key on the keyboard and then typing 0176 on the numeric area of the keyboard will produce a degree symbol ("). Page 1 of 3 MAE 284 MATLAB Homework Assignment #2 (110 points, 10 point bonus) 6. Use the fprinte function to print out the answer to the question: "How many solutions exist?" cCompute an approximation for the appropriate initial angle(s) , at which the missile can take off and stil hit the target im above the ground using your bisect function and the fzero function If there is more than one solution, be sure to find them all. Use the fprintf function to print out a table like the one shown below. Add a row for each zero of the function. Zoro + Bisect Pzero 2 XX.XXXXXXXX XX.XXXXXXXX XX.XXXXXXXX XX.XXXXXXXX d. Plot the solutions on the plot of the function of in the figure from part a. Use an asterisk for the bisect solution and a circle for the fzero solution. If there is more than one solution, use a different color for each solution. Be sure to include a legend in the lower left comer. e. Plot the trajectory of the toy missile in (x,y) coordinates for both of the solutions obtained using the frero function. Put both plots in a single new figure (but not subplot). Be sure to include a legend with entries for each solution that look like this: Trajectory for 8, XXX (30 Points) The trajectory of a toy missile in (X.) coordinates can be modeled as the parabola y(x) = x + x + 19 where cos a, tance) ayo and % = 5 m is the initial elevation, 0, is the initial angle of the missile in radians, *, -50 m/s is the initial velocity the horizontal distance the missile fles is 200m, the missie hits a practice target at Im above the ground. The missile will be launched on Venus where the acceleration due to gravity is 8.87 m/s? a Since the only unknown in equation [1] is the initial angle .. rearrange equation [] to be in the form of a function of , and plot it for for 10S S 80 Be sure to label the axes and turn on the grid (see help on the grid function). Note that xlabel('\theta) will produce a on the x axis. Even though 8, is in radians, the x axis should be in degrees. Also note that holding down the key on the keyboard and then typing 0176 on the numeric area of the keyboard will produce a degree symbol ("). Page 1 of 3 MAE 284 MATLAB Homework Assignment #2 (110 points, 10 point bonus) 6. Use the fprinte function to print out the answer to the question: "How many solutions exist?" cCompute an approximation for the appropriate initial angle(s) , at which the missile can take off and stil hit the target im above the ground using your bisect function and the fzero function If there is more than one solution, be sure to find them all. Use the fprintf function to print out a table like the one shown below. Add a row for each zero of the function. Zoro + Bisect Pzero 2 XX.XXXXXXXX XX.XXXXXXXX XX.XXXXXXXX XX.XXXXXXXX d. Plot the solutions on the plot of the function of in the figure from part a. Use an asterisk for the bisect solution and a circle for the fzero solution. If there is more than one solution, use a different color for each solution. Be sure to include a legend in the lower left comer. e. Plot the trajectory of the toy missile in (x,y) coordinates for both of the solutions obtained using the frero function. Put both plots in a single new figure (but not subplot). Be sure to include a legend with entries for each solution that look like this: Trajectory for 8, XXX