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)gt2 = -dsinФ
d = √(x2 + y2)
Originally Posted by My TextbookOriginally Posted by My 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.