Lets say that we have a rocket positioned at a certain angle with respect to the horizontal. The rocket is fired, with a constant propulsion force of . Assume that the rocket has a constant mass of kg (the gas used to propel the rocket is negligibly small). What is the optimal angle with which the rocket must be fired to have the farthest distance covered when it lands on the ground? You can view my attempt https://latex.artofproblemsolving.com/miscpdf/eyecbxwg.pdf?t=1500934067562. The differentiating process to find the max value of x is very messy and requires a calculator. I was wondering if there are any better approaches to this problem.