a funktion that behaves in the way of acceleration at start, and a constant force after a set time..

Question

How id like the funktion to behave, acceleration at start, and a constant force after a set amount of time

All i want is a funktion that behave this way, il edit it myself if need be to fit for its purpose..

Answer 1

You can choose your function to be $y(x)=\tanh{x}$, for $x\geq 0$. This function is bounded by the line $y=1$.