SOLUTION: The equation h=0.019s2 is used to model the height in feet of a wave when the wind speed is s knots. Compare the wind speeds needed to generate 5 foot waves and 15 foot waves. Sh

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Question 1028070: The equation h=0.019s2 is used to model the height in feet of a wave when the wind speed is s knots. Compare the wind speeds needed to generate 5 foot waves and 15 foot waves. Show your work.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
h= wave height, in feet
s= wind speed, in knots
h=0.019s%5E2<-->s%5E2=h%2F0.019<-->s=sqrt%28h%2F0.019%29
For a 5 foot wave,
s%5B5%5D=sqrt%285%2F0.019%29= approximately 16.2knots
For a 15 foot wave,
s%5B15%5D=sqrt%2815%2F0.019%29}= approximately 28.1knots
The ratio of wind speeds for 15 an 5 foot waves is
sqrt%2815%2F0.019%29%2Fsqrt%285%2F0.019%29=sqrt%2815%2F5%29=sqrt%283%29 .