Just knowing the acceleration is meaningless, UNLESS you know how long the acceleration was in force. Next, acceleration is a vector thing. so you might hve x,y, nd z accelerations, all happening at once. If all you know is ONE acceleration, you can only infer position in one dimension.
Regardless, in order to compute position from acceleration, you compute the velocity first. So integrating acceleration gives you velocity, BUT only if you know the initial velocity. Otherwise, all you can infer is a change in velocity.
So use cumtrapz to integrate acceleration as a function of time, to get velocity. Then add in the initial velocity. Something like:
x1_dot = v0 + cumtrapz(t,x1_doubledot);
Then use cumtrapz again. But again, you need to know the initial position, otherwise all you can infer is a relative diplacememt.
x1 = x0 + cumtrapz(t,x1_dot);
And if your data lives in two or three dimensions, then you need to do all of this for each dimension.
