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.

How Much is Blockbuster Worth?

Blockbuster Video will always have a special place in my heart.  When a store opened up a few blocks from my childhood home, it was a big deal.  We were excited to walk over, browse the rows of VHS (and, for a short time, Beta) cassettes, and bring back a movie or two for three days / two nights.

Oh, how times have changed.  Once valued at nearly $5 billion (in 1996 dollars), Blockbuster stock is currently trading at around 17 cents a share, which means that the company is currently valued at around $37 million.

So where is this $37 million in value?  The company has dropped more than 100-fold in value, but $37 million stills seems like a lot of money.  Does Blockbuster have any significant revenue?  Do they have exclusive agreements with movie studios that have value?  Is the Blockbuster brand worth something?  Can they sell all their old VHS tapes to Panama?

Determining the value of a company is an interesting and complicated problem.  Facebook provides another good example of the complexities involved.  Recent reports suggest Facebook has a value between $10 and $20 billion, even though Facebook’s revenue is on the order of $1 billion.  How does one determine that all the non-revenue-related stuff (brand identity, user base, etc) is worth $9 billion?

One thing is for sure:  Netflix, currently valued at around $5 billion, is definitely 133 times more valuable than Blockbuster.  At least.

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