Question

In a lab that I am doing for one of my Physics classes, it asksa couple questions that I don't totally understand...

-The lab is about Newtons Second law whereF=Mass*Acceleration

-We have a motion sensor setup to detect the motion of an objectmoving because of gravity(acceleration).

-They give us the theoretical model x(t) = At² + Bt + Cin order to extract acceleration values from the position data.They tell us "The prediction is that acceleration is a constant, soan appropriate model is of the form..." previously typed where A,B, and C are constant parameters.

Here are the questions it asks...

1) Why is this the appropriate form?

2) What physical quantities do these parameters have?

3) What is A and how is it related to acceleration?

I know that B = inital velocity and that C = initial position,but what is A, or I guess what is the mathematical relationshipbetween A and acceleration?

I will rate GOOD and QUICK if you can help me understand thesesimple questions!

Thanks in advance!