Deriving s(t) from a x-y plane

[Phys_Boi]

So if I'm given a coordinate plane that graphs the position of a particle, how do you get the s(t), in respect to time if given a table of time intervals.

Given:
f(x) = -x^2

Needed:
s(t)?
v(t)?
a(t)?

 

[Svein]

f(x) is an equation for the shape of the road. How fast you drive along that road is and entirely different question.