How to avoid ‘curve of pursuit’ in three simple steps?

Imagine driving down a country road when a street dog starts chasing your car? The dog ‘attacks’ the car but by the time gets it closer to the car, the car has moved ahead, and so the dog changes direction and attacks at new coordinates. This game goes on for some time, but because the car is faster than dog, dog loses the race never quite catching up the car! The resulting curve looks something like this:  In mathematics, this is known as the ‘curve of pursuit’ – a curve constructed by analogy to having a point or points …more