Ball rolling down an inclined plane

[i_need_help]

I have this math problem for school that I need help with

A ball is rolling down an inclined plane. The equation I have is y = .165x^2 + .997x + .845 where y is the distance traveled and x is the time taken

I want to predict the distance it has rolled in 2 days, which I can do

but what sort of assumptions would i have to make?

and what are the strengths and limitations for the model?
for example, a limitation is that when it reaches terminal velocity the model won't work anymore because the model expects the speed to keep increasing

i don't know anything about physics so i need help

 

[cse63146]

Here's what I believe you need:

That equation is if the ball rolls at a constant acceleration. You need assume that it would have constant acceleration, so what would prevent the ball from from going at a constant acceleration?

Not sure about the limitations, though.