The quadratic function h(t)=-16.1t^2 + 150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15 story building. from what height, in feet, was the ball dropped?

The ball is dropped from a building and the quadratic function which models the ball`s height is:

h ( t ) = - 16.1 t² + 150

We can find the initial height if we calculate h ( 0 ), or the height for : t = 0 sec.

h ( 0 ) = -16.1 · 0² + 150 = 0 + 150 = 150 ft

The ball was dropped from 150 feet.