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 farmerpig, 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?
(In reply to
Analytical Solution by Daniel)
I don't follow the derivation of the differential equation, beyond seeing that P is the origin, PF is the xaxis and the pig's path is the yaxis.
The answer derived disagrees with the numerical answer previously posted.

Posted by Charlie
on 20081117 16:06:52 