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Problem Title: The Falling Ladder

     
  Year: 2002      
  Student Level: High School      
  Source: HIMCM      
  Commentary: Yes (1)      
  Student Papers: Yes (1)      
     
  Problem  
 

A ladder 5 meters long is leaning against a vertical wall with its foot on a rug on the floor. Initially, the foot of the ladder is 3 meters from the wall. The rug is pulled out, and the foot of the ladder moves away from the wall at a constant rate of 1 meter per second. Build a mathematical model or models for the motion of the ladder. Use your model (or models) to find the velocity at which the top of the ladder hits the floor and the distance the top of the ladder will be from the wall at the moment that it hits the ground.


 
         
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Consortium Article

     
         
  Student Papers      
 

Consortium Article