A projectile is fired vertically upward and can be modeled by the function h(t)=−16t2+1500t+250h(t)=−16t2+1500t+250. During what time interval will the projectile be more than 28,000 feet above the ground? Round your answer to the nearest hundredth.

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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.