Question

A model rocket is launch from the ground with initial velocity of 352 ft/sec how long will it take the rocket to reach its maximum height show all work in the space provided

Answer 1

check the picture below. So the rocket reaches its height at its vertex.

the rocket is being launched from the ground, and therefor its initial height is 0, thus

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h(t)=-16t^2+352t+0 " src="
`image`

so we can get the vertex coordinates by using its coefficients, how many "t" seconds will it take? well, that'd be the x-coordinate of its vertex.

`image`