Divide and simplify radical expressions that contain a single term.
Answer:
The rocket will take 4.5 seconds to reach its maximum height.
Step-by-step explanation:
The height of a missile t seconds after it has been fired is given by h=-4.9*t²+44.1*t
This function is a quadratic function of the form f (x) = a*x² + b*x + c. In this case a=-4.9, b=44.1 and c=0
To calculate how many seconds it will take for the rocket to reach its maximum height, I must calculate the maximum of the function. The maximum of a quadratic function is the vertex of the parabola. The x coordinate of the vertex will be simply:
. The y coordinate of the vertex corresponds to the function evaluated at that point.
In this case the x coordinate of the vertex corresponds to the t coordinate. In other words, by calculating the x coordinate of the vertex, you are calculating the maximum time t it will take for the rocket to reach its maximum height. So:
![t=\frac{44.1}{2*(-4.9)}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B44.1%7D%7B2%2A%28-4.9%29%7D)
t=4.5
<u><em>The rocket will take 4.5 seconds to reach its maximum height.</em></u>
Answer:
Hi.
Step-by-step explanation:
Ask your teacher for help because your parents are paying the school fees. Feel free. If you want the answer still message back.