Litin' the Fuse Company shot off Fireworks over Commencement  Bay for the Tacoma Fireworks Celebration.  A firework followed a parabolic path according to the function  h(t)=−16t2+200t+25h(t)=−16t2+200t+25 with h(t) the height of the firework over the water in feet and t the time in seconds.  If  the firework exploded when it first reaches 600 feet above the water, how many seconds did it take after it was released for  the explosion  to happen?

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.