Suppose that a movie is being filmed. An action shot
requires an object to be thrown upward with an initial
velocity of 64 feet per second off the top of the plaza,
a height of 512 feet. The height h(t) in feet of the
object after t seconds is given by the function
h(t) = - 16t² +64t+512. Determine how long before
the object strikes the ground. (Hint: Let the height,
h(t), be 0 and solve for t.)