1) A certain building is built on level ground. A Physics student is standing on the roof of the building and launches a large round stone off the building. The vertical height (in feet) of the stone, t seconds after being launched, is given by the function h (t) = -16t2 + 35t + 500. Complete the following: a) The height of the building is feet. b) The stone's vertical height after 3 seconds is feet. c) The stone's vertical velocity after 6 seconds is feet/second. d) The stone's vertical speed after 6 seconds is feet/second. e) At what value of t does the stone reach it's maximum height? Type the exact answer as a decimal. seconds