How can the chicken cross the road without falling into the deadly embrace of the Grim Reaper?
Q. A chicken crosses the road while the Grim Reaper races toward it on his motorcycle of death. The sides of the road are defined by the x axis (y = 0) and the line y = 10 meters. The chicken, crossing with a constant speed of 2 m/s, starts at the point (99,0) and aims to end up anywhere on y = 10. At the same time the chicken begins to cross, the Grim Reaper is at the origin (0,0) riding at 20 m/s along the x axis. His motorcycle has a tracking device that allows the Reaper to steer directly toward the chicken s location at any point in time, while maintaining a speed of 20 m/s. The Grim Reaper is bound by a law that says he can only kill chickens if y < 10. How can the chicken cross the road without incurring death? This is how the… [cont.]
Asked by Dr D - Tue Sep 25 09:53:57 2007 - - 6 Answers - 6 Comments

A. Yes, the poor Creature can survive running directly North to the point (99, 10)! The rules require the Villain to keep direction to the Victim and that will save it, indeed for time "t" Victim would be 2t North of the starting point and if y = y(x) is the equation of the Villain's persecution curve, the distance covered by him would be 20t = [0, x] sqrt(1 + y' ) dx, hence dt/dx = sqrt(1+y' )/20, on the other hand the Villain's velocity vector has the direction of the tangent to y = y(x), this tangent intersecting x-axis at x - y/y'. Taking tangent from this point, x-axis and the vertical lines =x and =99 we have 2 similar right triangles, so: 2t/y = (99 - (x - y/y'))/(x - (x - y/y')), or 2t = y + (99 - x)y', differentiating that dt/dx =… [cont.]
Answered by Duke - Tue Sep 25 12:49:23 2007

How long does it take a camel to cross the desert?
Q. A camel sets out to cross the desert, which is 23.9 km wide in the north-south direction. The camel walks at the unifrom speed 4.26 km/hr along a straight line in the direction 35.5 north of East. A) How long will it take the camel to cross the desert? Answer in units of hr. B) Calculate the camel's eastward displacement while he crosses the desert. Answer in units of km.
Asked by Opium_Addict - Sat Nov 3 18:19:28 2007 - - 4 Answers - 0 Comments

A. In less time than it took you to compose this.
Answered by Tweedle Dee - Sat Nov 3 18:22:54 2007

How do I train for cross country in my current situation?
Q. Hi, How do I train for myself and my horse for cross country? See I moved to a different city and the place I was at before had a cross country coarse and jumps and everything. Well the new place I am at there is no jumps or cross country coarse only trails. So what can I do to be ready to do cross country races when show season starts? Does those things really help to train for cross country?
Asked by Samantha - Mon Feb 22 22:52:14 2010 - - 3 Answers - 0 Comments

A. If you're handy, cross country jumps are not too difficult to build. But if you're serious about eventing, you'll just need to trailer your horse over to places that allow cross country schooling. Even when you board at a farm with some cross country jumps, you still should trailer to other places as they may have more jumps on the course, different types of fences, tougher terrain, etc. Your eventing trainer should be able to set you up with some schooling opportunities. If you don't have a trailer, maybe you could pay somebody at your barn to take you??? Good luck, finding cross country schooling opportunities can be difficult.
Answered by Ang - Mon Feb 22 23:09:38 2010