SOLUTION: I would really just appreciate if someone can guide me an the formulas to use. This is credit, and we havent done this chapter. Much appreciated... A miniature rocket is launc

Question 277224: I would really just appreciate if someone can guide me an the formulas to use. This is credit, and we havent done this chapter. Much appreciated...
A miniature rocket is launched so that its height h in meters after t seconds is given by the equation h = -4.9t^2 + 19.6t + 10
a. draw a graph of the equation
b. how high is it after 3 sec?
c. what is the max height the rocket will attain?
d. How long after the launch will the rocket hit the ground?
Found 2 solutions by Monarita, Alan3354:
Answer by Monarita(1) (Show Source): You can put this solution on YOUR website!
Still me...
B) I got 24.7
c) 29.6 meter
D) 10 seconds??
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A miniature rocket is launched so that its height h in meters after t seconds is given by the equation h = -4.9t^2 + 19.6t + 10
a. draw a graph of the equation
b. how high is it after 3 sec?
Sub 3 for t
h(3) = -4.9*9 + 19.6*3 + 10
= 24.7 meters
----------------------
c. what is the max height the rocket will attain?
Max height is at the vertex, t = -b/2a
t = -19.6/2*-4.9 = 2 seconds
h(2) = -19.6 + 39.2 + 10
h(2) = 29.6 meters max height
-------------------------------
d. How long after the launch will the rocket hit the ground?
It impacts at h = 0
-4.9t^2 + 19.6t + 10

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=580.16 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.457807219155036, 4.45780721915504. Here's your graph:

---------------------
t = x

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