Hi I am in the middle of solving this provlem however, since I am only given a limited amount of information I am confused as to how to solve it.
"Two cars start moving from teh same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate is the distance between the cars increasing two hours later?"
So far I have the equation..
(z^2) = (x^2) + (y^2)
I know dy/dt = 60 mi/h and dx/dt = 25 mi/h.
I implicity differentiated the first equation and ended up with:
dz/dt = (50x +120y)*(1/2z)
Since I do not know what x or y is I am unable to find the rate the distance between the two cars is increasing.
Thank you so much for your help!