Quadratics Project
A bottle rocket is launched directly upward at 64 feet/sec from a platform 80 feet above the ground.[br]
Identify what you know.
What is the a-value of the equation?
a=-16
Which direction would the parabola open?
Up
Down
Find the equation of the parabola.
h(t)=-16t[sup]2[/sup] +16t + 80
What are the solution(s) to the equation?
{-1,5} seconds
Where do the solutions appear on the graph?
on the t-axis, they are the t-intercepts
What do the solutions represent in terms of the problem?
They give the amount of time it takes for the bottle rocket to hit the ground.
Find the vertex of the parabola.
(2,144)
What does the vertex represent in terms of the problem?
The bottle rocket will reach a maximum height of 144 feet 2 seconds after it is launched.
Graph the parabola to check your results.
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