Thursday, March 06, 2008

Late at Night

A man is waling at night at a steady pace. As he walks by a street lamp, he notices that his shadow becomes longer. Does the top of the shadow move faster, slower or at the same speed when the shadow is longer as when it is shorter?


  1. Oh man, a related rates problem, I can barely contain my excitement. I won't spoil the fun by explaining it, but the top of his shadow accelerates as the shadow itself grows longer.

  2. Well, I'm not sure I want to go into a full explanation (derivatives and so forth). But Abe is right. The top of his shadow starts moving faster as his shadow gets longer and longer.

    For a good explanation/example, you can go here:


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