If a ball is thrown upward at 49 meters per second from the top of a building that is 30 meters​ high, the height of the ball can be modeled by S=30+49t−4.9t^2, where t is the number of seconds after the ball is thrown. Find the t-coordinates 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=___

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