Write a MATLAB function called optimizeTrebuchet that optimizes l, 92 (0), and 0. for a given...

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Write a MATLAB function called optimizeTrebuchet that optimizes l₂, 92 (0), and 0. for a given projectile mass m₂ to maximize the range for a given projectile mass. Your function should use MATLAB's fminsearch command, to minimize the negative of the range computed by computeRange. You should watch the plots of the trebuchet motion that are generated as fminsearch calls computeRange to see what it is doing as it explores the trebuchet design- space. Your function should have the following attributes: The function must be called optimize Trebuchet. • The function must take wo input arguments: (1) The projectile mass m₂ in kilograms, and (2) an array containing an initial guess for [1₂, 0₂(0), 0*] in units of meters and degrees. The function must return two output arguments: (1) The maximum range, and (2) an array containing the values of [12. 02(0), 0] that achieve this range. • You should try running your optimization code starting from different initial values of [1₂, 0₂(0), 0*]. Does the code always find the same optimal solution? Once you can optimize the trebuchet for a 50 Kg projectile, try changing the mass and see how that affects the optimal trebuchet setup [12, 0₂(0), 0]. You can also see how sensitive the range it small changes in [1₂, 0₂(0), 0*]. Write a MATLAB function called optimizeTrebuchet that optimizes l₂, 92 (0), and 0. for a given projectile mass m₂ to maximize the range for a given projectile mass. Your function should use MATLAB's fminsearch command, to minimize the negative of the range computed by computeRange. You should watch the plots of the trebuchet motion that are generated as fminsearch calls computeRange to see what it is doing as it explores the trebuchet design- space. Your function should have the following attributes: The function must be called optimize Trebuchet. • The function must take wo input arguments: (1) The projectile mass m₂ in kilograms, and (2) an array containing an initial guess for [1₂, 0₂(0), 0*] in units of meters and degrees. The function must return two output arguments: (1) The maximum range, and (2) an array containing the values of [12. 02(0), 0] that achieve this range. • You should try running your optimization code starting from different initial values of [1₂, 0₂(0), 0*]. Does the code always find the same optimal solution? Once you can optimize the trebuchet for a 50 Kg projectile, try changing the mass and see how that affects the optimal trebuchet setup [12, 0₂(0), 0]. You can also see how sensitive the range it small changes in [1₂, 0₂(0), 0*].

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