Question

I have an acceleration function and a velocity function that I know the equations for. How would I use those to find the equation for a position function x(t) if x(0) = 0? I'm just looking for a general method, but I can give the equations if needed.

Answer 1

v(t) = integral of acceleration, a(t)
x(t) = integral of v(t)
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in the special case where a is constant this would come out:

v = Vi + a t
(Vi is v when t = 0)

x = Xi + Vi t + (1/2) a t^2
(Xi is x at t = 0)

Answer 2

Thanks!