Question

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.

Answers

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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