Algebra 2 h

A model rocket is launched from the top of a building. The height (in meters) of the rocket above the ground is given by h( t) = -16t²+ 96t + 14, where t is the time (in seconds) since the rocket was launched. What is the rocket’s maximum height and when does this occur.

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  1. the max is on the axis of symmetry of the parabola

    tmax = -b / 2a = -96 / (2 * -16) = 3 s

    plug the 3 into h(t) to find the max height

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