A farmer wants to catch a pig which is 100 meters away from him. They
start running at the same time. The pig runs straight ahead, initially perpendicular to the line farmer-pig, at
constant speed. The farmer always runs in the direction where he sees
the pig (also at constant speed).
If the ratio of the speeds is 3:1 (farmer:pig), how far would the pig have traveled till the farmer caught it?
the farmers path can be defined by the differential equation
with y(100)=0 and y'(100)=0 this gives
so when x=0 y=-112.5 so when the farmer finally catches the pig, the pig will have traveled 112.5 meters
Posted by Daniel
on 2008-11-17 14:43:48