I need help formulating the code for an advance baseball simulation in part c and d I am not sure how to set up the code with what I am given.

9.1.2. Tasks In your analysis ShOW trajectories of pitches with and without the improved modelling. Comment on the size of the effect. (a) (b) (C) (d) Write a function C_D (v) that implements Eq. 1 and returns the value of the speeddependent quadractic drag coefcient. Plot 013(1)) over the range 0 S U S 80 m/s. [3 points] Write a function omega_f riot ion (omegaO, t) that implements Eq. 2 to model the slowdown of the spinning ball due to friction. The function should take the initial angular velocity vector can and the current time t as input and return the current value of w(t). Plot |w(t)| over the range 0 g t g 15. [3 points] Update the code in th9 . py to include the velocity-dependent drag coefcient CD(v) and the Slowing down of the angular velocity w(t) (using your functions from (a) and (b)). Write a function simulate_baseball_advanced (v0, omegaO, . . .) that returns the trajectory for one pitch with initial velocity v0 and ball angular velocity am. It Should return a N x 4 numpy array where the second axis corresponds to (t, a), y, z) [7 points] Create at least three plots for different choices of the initial velocity (which you should choose yourself) where you compare a simulation CD(v) as CD(v) = a + b -CX exp(- x2) , X