In a lab that I am doing for one of my Physics classes, it asks a couple questio

Question

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

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

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

-They give us the theoretical model x(t) = At2 + Bt + C in order to extract acceleration values from the position data. They tell us "The prediction is that acceleration is a constant, so an 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 relationship between A and acceleration?

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

Thanks in advance!

Explanation / Answer

if the accleration rate is constant, so we have the equation of motion S=at^2/2+v^t+s0. so if we let A=a/2, v=B and s0=C so we can see that that form is appropriate. 2. A: acceleration /2 B: velocity S:initial position. 3. A=a/2. where a be initial acceleration rate

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