In a hurricane the wind pressure varies directly as the square of the wind velocity. If a wind pres

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In a hurricane the wind pressure varies directly as the square of the wind velocity. If a wind pressure is a measure of a hurricane's destruction capacity, what happens to this destructive power when the wind speed doubles?

Let P = pressure and v = velocity (wind speed)

We are given p = v^2

Double velocity, so we have a new pressure P2:
P2 = (2v)^2
P2 = 4v^2

Compare the 2:
p = v^2
p = 4v^2

Doubling the wind speed quadruples, or 4 times the pressure.