Calculus - Are You Moving or Are You Not?

In calculus, there's two main things that you use. They're called derivatives and integrals. If i take a graph of position over time, and I take the derivative, then i can figure out velocity. And if i take an integral of velocity, i can get displacement. So what's an integral and what's a derivative? We can't know, right? But we're moving. Just basic like road bounce. It's a perfect new asphalt road, right? A great suspension on the ve.