(Modeling) Height of a Projected Object A ball is projected directly upward from an initial height of \(200 ft\) with an initial velocity of \(64 ft\) per sec.
(a) Use the function \(s ( t ) = - 16 t ^ { 2 } + v _ { 0 } t + s _ { 0 }\) to describe the height of the ball in terms of time \(t\) .
(b) For what interval of time is the height of the ball greater than \(240 ft\) ? Round to the nearest hundredth.