A baseball is thrown with a vertical velocity of 50 ft/s from an initial height of 6 ft. The height h in feet of the baseball can be modeled by h(t) = -16t2 + 50t + 6, where t is the time in seconds since the ball was thrown. It takes the ball approximately _____ seconds to reach its maximum height. (Round to the nearest tenth of a second and enter only the number.)
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When you are looking at the highest point that object reached to, you'd have to consider the vertex. The vertex can be the min or the max in a parabola (quadratic equation). But since we threw in object, our parabola is an upside down parabola. Hence your equation h(t) = -16t2 + 50t + 6, the quadratic equation is negative because it is an upside down parabola.
Do you remember the process of finding the vertex of a parabola?
You complete the square or use the vertex formula to find the vertex of a given standard equation like h(t) = -16t2 + 50t + 6. Do you remember on how to do any of this?