I'm having a really hard time understanding this. So far this is what i think is correct. V(average)= (X1-X0) / change in time the derivative of V(average)= gives me the instant velocity ??? but at the same time say i have x(t), then the derivative of that is also the instant velocity??? A(average)= change in v / change in time and if i take the derivative of A(average) i get instant Acceleration.. but then my teacher said that the derivative of V(average) = instant acceleration.. So does that mean that instant velocity= to instant acceleration??