Solve the all parts of given problem:
Problem: Wally is shot from a cannon with a speed of 20 m/s at an angle of 30 degrees above horizontal. Luke drops from a platform (x,y) coordinates of (8,16).
Part A: Will the make contact?
Part B: What is minimum distance separating Wally and Luke during their flight paths?
Part C: What time does minimum separation occur?
Part D: Give coordinates of each person at that time.
Please show all work and equations. Defend your solution.