The Fundamental Theorem of Calculus
As one dives deeper, the water pressure p in pcf (pounds per cubic foot) at a depth of h feet below the surface of the water changes at a rate of
p'(h) = 62.4 pcf per foot.
If one starts at a depth of 15 feet below the surface of the water, how many feet deeper must one dive for the water pressure to increase by 800 pcf? Round your answer to the nearest foot.