Flight of a Ball If a ball is thrown upward at 39.2 meters per second from the top of a building that is 30 meters high, the height of the ball can be modeled by S(t) = 30 + 39.2t − 9.8t2 meters, where t is the number of seconds after the ball is thrown.
a. Find the t-coordinate and S-coordinate of the vertex of the graph of this quadratic function.
b. Explain the meaning of the coordinates of the vertex for this function.
c. Over what time interval is the function increasing? What does this mean in relation to the ball?
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