could you solve them step y step in details please

Question 4 - Maximum Range: Discus from Field Athletics [35 Marks] [Estimate any missing quantities from representative or standard values] An upper limit to the maximum range of a lifting throwing implement can be found by treating the motion as a non-lifting ballistic initially to gain elevation, then as a lifting body on a steady glide back to ground. For heavier projectiles, such as the discus, it can be assumed that the flare phase at the end of flight contributes a negligible gain in range. a) Review the lecture notes on the non-zero wind dynamics analysis and adapt the equations in the spreadsheet projectiles tool provided to plot the trajectory for the ballistic and glide phase, to account for a prevailing wind direction with constant velocity, treating the apex of the trajectory as the boundary between analyses and the speed on the boundary consistent for both. Outline the analytical work behind your adapted spreadsheet. (Marks Breakdown: adapt spreadsheet equations [5], analysis description [5]) b) Update the initial conditions to represent a discus from field athletics using the following inputs: release angle 38, release velocity 25 m/s, discus diameter 0.221 m, mass 2 kg. Assuming zero wind conditions, plot the trajectory and demonstrate both the range and apex on your plot are at the appropriate positions, with comparison to analytical solutions clearly presented in your report. (Marks Breakdown: initial conditions [1], identify positions [1], analytical comparisons [1], workings shown [2]) c) Increase the wind speed to a -10 m/s headwind and record what happens to the range. Then change the wind speed to represent a tailwind with strength of 10 m/s and again, record the range. Create a set of columns for each of these cases and plot the trajectories together on one graph. Compare the non-zero wind cases to the still air conditions. Is it as you expect? (Marks Breakdown: ranges recorded [1], trajectories compared [2], discussion [2]) Aerospace Structures & Dynamics Assignment 2 of 2 Page 5 of 6 d) For the -10 m/s headwind, decrease the release angle to 33 and record what happens to the range. Then for the tailwind with strength 10 m/s, increase the release angle to 42 and again, record the range. Compare the non-zero wind case to the still air conditions. Is it as you expect? Does the range increase by modifying the release angle? (Marks Breakdown: ranges recorded [1], trajectories compared [1], discussion [3]) e) Refer to the paper on Optimal Discus Range (Hubbard, 2007) and compare your range outputs from d) to those from their simulation, as presented on their Figure 6b. Discuss your findings. [Reference: Optimal Discus Trajectories, Hubbard M & Cheng K.B., Journal of Biomechanics, Volume 40, Issue 16, 2007, Pages 3650-3659.] (Marks Breakdown: discussion [10])