The Data: Here are three times and the measured height of the plane at those times.

Time (t) in seconds	Height (h) in feet
2	24226
20	32380
40	33840

To find the coefficients for your model, plug the data into the equation:

h=at2+bt+c

The data points are just like x and y values, where the x value is the time tt in seconds and the y value is the altitude h in feet. Plug these into the model to get three linear equations with variables aa , b ,and c .

Data Values	Enter the resulting equation
(2,24226)
(20,32380)
(40,33840)

Now that you have your system of 3 equations with 3 unknowns, you will have to solve it. For this lab, you can solve the system using any method you prefer. However, working with augmented matrices is undoubtedly an efficient way to solve systems of equations. So, you should at least practice setting up the corresponding augmented matrix for your system. Let's do that here:

Fill in the augmented matrix for your system.

You will now need to solve the system to find a , b , and c . Go to the next question to submit those values.