Will a Skimming Stone Travel Further on Calm or Wavy Water?

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A flat stone skimming across a lake will travel further on a calm water surface than on a wavy one. Waves do not provide horizontal momentum to the stone; instead, they reduce the time the stone is in contact with the water. The stone's distance is primarily influenced by its speed and trajectory rather than wave interaction. Historical research and military technology from WWII have explored the dynamics of skimming stones. The discussion emphasizes that calm surfaces are more favorable for achieving greater distances when skimming stones.
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If I skim a flat stone across a lake will it go further on a calm,flat,water surface or on a surface covered with waves i.e can the pebble pick up momentum from the waves if it travels at the right speed and trajectory?
 
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May be in the wavy water, the stone can go further. But it is not because the pebble picks up momentum from the wave. In fact it reduces the time the pebble contacts with water. The waves do not contribute any momentum to the stone in horizontal direction.
 
The researchers on that link have really done some work on skimming stones!
 
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