SOLUTION: 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.Wha

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?
2.How long does it take for the rocket to reach its maximum height?
3.After it is fired, the rocket reaches the ground at t=___?"
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
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?
================
2.How long does it take for the rocket to reach its maximum height?
See #1.
====================
3.After it is fired, the rocket reaches the ground at t=___?"
At impact, h(t) = 0
Solve for t, ignore the negative solution.
==========================
PS A rocket has thrust, and does not follow a parabola.
This is a projectile.

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