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Thread: A moving shadow

  1. #1
    Sep 2009

    A moving shadow

    Hey guys, I could really use some help. I've been trying to figure this problem out for the past 45 minutes, and I'm getting nowhere.

    The problem reads; A light shines from the top of a pole 50 ft high. A ball is dropped from the same height from a point 30 ft away from the light. How fast is the shadow of the ball moving along the ground 1/2 second later? (Assume the ball falls a distance s = 16t^2 in t sec.)

    Then we have a picture of a light 50 ft high, with a line from the bottom to point x(t). This forms a right triangle by making a line from the top of the light (50 ft) to point x(t). There is a mark at 30 ft on the ground, and they have the ball on the hypotenuse at that point (where t = 1/2 sec).

    I honestly don't know where to start other than finding ds/dt = 32t. Can any of you guys help? Thanks in advance!
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  2. #2
    MHF Contributor Calculus26's Avatar
    Mar 2009
    See attachment
    Attached Thumbnails Attached Thumbnails A moving shadow-mhfmvngshdw.jpg  
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