A new poster has put up a homework question, but managed to knock it off the unanswered list by adding further info. I've been trying to help via private conversation, but although I'm convinced an analytic solution is possible, the maths is temporarily defeating me! (Only basic calculus, derivative of function of function, but I'm very rusty.) Is there any way, other than reposting in a new thread, that it can get back on the UAT list, so that real mathematicians can see it and maybe help. Post referred to is: in Introductory Physics HW, by Makonia, " How to chose the angle and initial speed to hit two objects "