Calculus/parametric problem. I can't figure this out : (
Hey all, here's the problem I've been struggling with:
Cameron is located 2 miles due East of an intersection between two country roads. He decides to walk in a straight line (cross-country) toward a position 3 miles due North of the intersection; it takes Cameron one hour to reach that location.
(a) Find parametric equations for the location of Cameron at time t hours.
(b) Find the rate of change of the distance between Cameron and the intersection at time 15 minutes (t= 1/4). (Hint: First find a function d(t) that calculates the distance between Cameron and the intersection at time t, then use the definition of the derivative to calculate the rate of change at time t= 1/4. You will need to rationalize the expression to compute the limit.)
So that's it. Even with the hint I'm brain dead. This is after a day's worth of homework, so my mind is jelly. Thanks in advance to whoever helps! :)