A ball is launched from a Sling shot. It’s height, h(x), can be represented by a quadratic function in terms of time, x, in seconds. After 1 second, the ball is 76 feet in the air; after 2 seconds, it is 144 feet in the air. The height of the can be represented by this function:

H(x)=-4x^2+80x

Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 14 ft high? (round your answer to two decimal places.) ft/min