We are standing on the top of a 960 feet tall building and launch a small object upward. The object's vertical position, measured in feet, after t seconds is h(t) = -16t^2 + 64t + 960. What is the highest point that the object reaches?
Added by Patrick M.
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The function h(t) is a quadratic function, and its graph is a parabola. The maximum value of a parabola that opens upwards (which is the case here, since the coefficient of t^2 is positive) is at its vertex. The x-coordinate (or in this case, the t-coordinate) Show more…
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