The Equation $s=-16 t^{2}+63 t+400$ Gives the Position $s$ In Feet Above the Ground, Where

Short Answer

The equation $s=-16 t^{2}+63 t+400$ gives the position $s$ in feet above the ground, where $t$ is the number of seconds elapsed after a ball is projected upward from a building. Determine the height of the building, if possible. Explain your reasoning.