Without friction it is simple, because velocity changes linearly over time, so I can multiply average velocity with $timeDelta$. $ velocity_{next} = velocity + acceleration * timeDelta $ $ position_{next} = position + \frac{velocity + velocity_{next}}{ 2} * timeDelta$
Few formulas about my understanding of friction. If I'm wrong please tell me it :)
$acceleration = 0$ $velocity_{next} = velocity * friction^{timeDelta}$ $velocity_0 = 8, \quad friction=0.5$ $velocity_1 = 4$ $velocity_2 = 2$ $velocity_3 = 1$ $velocity_4 = 0.5$
Now I want to put velocity, acceleration and friction together, but it's hard for me, because velocity change by friction is exponential over time.