If a ball is thrown upward at 19.6 meters per second from the top of a building that is 35 meters high, the height of the ball can be modeled by S=35+19.6t−4.9t2, where t is the number of seconds after the ball is thrown. Answer parts a through c.
a. Find the t-coordinate and S-coordinate of the vertex of the graph of this quadratic function.
The t-coordinate of the vertex of the graph of this quadratic function is t=nothing.
(Simplify your answer.)