The goal here is to find the value of Ө, in terms of Ф, that results in the maximum possible value of d. We start with the following equations:

x = (vcosӨ)t = dcosФ

y = (vsinӨ)t - (1/2)gt^{2 }= -dsinФ

d = √(x^{2}+ y^{2})

Originally Posted byMy TextbookOriginally Posted byMy Textbook

My question is, what exactly are the steps in eliminating t and then using differentiation to maximize d? I suspect that I'm supposed to solve one of the equations for t (e.g., t = (dcosФ)/(vcosӨ) or t = x/(vcosӨ))and then plug that t into the other equation. But is that right? And if so, what do I do next?

By the way, that awkward double-quote isn't my mistake, it's some kind of weird bug.