The governing equation for a projectile shot vertically upward is d'y dt2 -mg - C|V\V y(0) = 0 and y'(0) = V, where m is the mass of the projectile (kg), y(t) is the height (m), g is the acceleration of gravity (9.80665 m/s2). C is an aerodynamie drag parameter, and V-dyidt is the velocity. For m- 10.0kg, C-0.IN-s'/m, and Vo- 500.0 m/s, calculate (a) the maximum height attained by the projectile, (b) the time required to reach the maximum height, and (c) the time required to return to the original elevation. In solving the problem, you should clearly explain and justify the following: 1. Choose a numerical method to solve this problem. State what method you are using and explain how it was derived and the error associated with the method. 2. Do you expect any issues with the convergence of your method?