Related Rates on the Street

I feel like I’ve had this experience many times in my life:  I’m biking down the road, or walking along at a brisk pace, and out of the corner of my eye I catch a glimpse of a person I think I know.  As I turn back to take another look, a well-positioned telephone pole or lamp post gets in between me and the unknown.

Somehow, the geometry and physics of the situation perfectly conspire to always keep the pole between me and the mystery person.

Click on the image below for a demonstration

A thorough analysis of the problem would be interesting, taking into consideration the different initial velocities, the different positions, the radius of the pole, different paths, and the like.

Martin Gardner

Martin Gardner, who died on May 22, 2010, shared the beauty, mystery, and most of all, the fun of mathematics with the world.  I remember watching the episode of “The Nature of Things” linked below, captivated by the reach of mathematics and the passion and ingenuity of these mathematicians–mathematicians who loved magic, juggling, computer games, and debunking con-artists.

http://vimeo.com/7176521

The passion of Martin Gardner reached many people; there’s no denying the impact this television show had on me.

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