SOLUTION: A model rocket is blasted off from the ground into the air and fall back to the ground. Its height, h, in meters is approximated by the function h (t) = -4.9t ^2 + 15t +2, where t

Question 1146380: A model rocket is blasted off from the ground into the air and fall back to the ground. Its height, h, in meters is approximated by the function h (t) = -4.9t ^2 + 15t +2, where t is the time in seconds.
From what height is the rocket blasted off?
When is the rocket on the ground?
When does the rocket reach its max height, and what is the max height?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A model rocket is blasted off from the ground into the air and fall back to the ground. Its height, h, in meters is approximated by the function h (t) = -4.9t ^2 + 15t +2, where t is the time in seconds.
From what height is the rocket blasted off?
h(t) = -4.9t^2 + 15t + 2
It's h(0). Sub 0 for t.
=====================================
When is the rocket on the ground?
When it's launched, and at impact.
IOW, when h(t) = 0
=======================================
When does the rocket reach its max height, and what is the max height?
t for max height is the vertex of the parabola, at
t = -b/2a
Find t, then find h(t)

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