Please help me with this

Question

A rocket takes off at 230 feet per second. When will it reach it’s maximum height?

h=-16r2+230r

Answer 1

Hi Brandi, the rocket will hit it's maximum height at the vertex of the parabola. First, find the axis of symmetry then using the axis of symmetry, find the y-value of the vertex.

Axis of symmetry:

-b/2a = -230 / -32 = 7.19 (rounded)

y-value of vertex:

y = -16 * (7.19²) + 230 * 7.19 = 826.56 feet.

The maximum height of the rocket is 826.56 feet.

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