A model rocket is launched vertically upward from the roof of a building located \(64\ feet\) above ground level. The height \(h(t)\) (in feet) of the rocket above the ground at any time \(t\) seconds is modeled by the parabolic equation: [Use \(\sqrt{5} = 2.236\)]
\(h(t) = -16t^2 + 32t + k\)
Based on the scenario kindly answer the below questions
(i) Calculate the value of \(k\)?
(ii) At what time will the rocket hit the ground?
(iii) What is the height(in feet) of the rocket \(2.6\ seconds\) after launch?
(iv) At \(2.5\ seconds\), is the rocket ascending or descending at this moment?