Non-uniform acceleration equation

[candycooke]

I need to know the non-uniform acceleration equation to determine final position given:
initial position
initial velocity
initial acceleration
jerk
time

I know that the equation with uniform acceleration is:
x(f) = x(i) + v(i)t + (1/2)at^2

I think the equation I'm looking for is the following, but I'm not exactly certain:
x(f) = x(i) + v(i)t + (1/2)at^2 + (1/6)jt^3

Thanks

 

[Gib Z]

Assuming that your jerk is constant, and that "a" in your equation is the initial acceleration [so by your notation, a(i)], then yes, you have the correct equation . =]