Question 1115556
A rocket is fired upward from some initial distance above the ground. its height in feet, h, above the ground, t, seconds after it is fired, is given by h= -16t^2+112t+1568.

1.What is the rockets maximum height?
The max height is at the vertex of the parabola.  Do you know how to find that?
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2.How long does it take for the rocket to reach its maximum height?
See #1.
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3.After it is fired, the rocket reaches the ground at t=___?"
At impact, h(t) = 0
Solve for t, ignore the negative solution.
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PS  A rocket has thrust, and does not follow a parabola.
This is a projectile.