I'm having a very hard time with these concepts. I do know that the derivative of Postion is Velocity and the differentiation of Velocity is Accleration. Most of which I have a hard time with is connecting the relationship between these terms, on graphs. I know that the graph of a postion will only increase/decrease when the Velocity is not equal to 0. Use the above Postion graph for example. How could you possibly find the instantenous velocity (or velocity for that matter) of the Postion graph at time = 3s? How can you tell that Velocity is increasing on a Position graph? I can't seem to define the Acceleration on a Velocity graph. What's funny is that I know that a Velocity with a linear line will have a Acceleration graph showing a constant line on 0; anything beyond this is confusing. Is it true that Acceleration will always be 0 unless the slope of the Velocity changes in a certain time interval? Maybe someone on here can help explain along with some graphs? Lets say that a ball has velocity of 3 m/s at time = 2s and acceleration is a constant 9.8 m/s/s. How would you figure out the Velocity of the ball at time = 3s? Do you just add 9.8 to 3 to find out your Velocity at time = 3s? What does m/s/s essentially mean? What is Speed technically? Speed is the magnitude of Velocity but Velocity is how fast it displaces over time. Is Velocity simply Speed + Direction = Velocity? In my textbook, the instantenous velocity is reffered to as "velocity" and the instantaneous acceleration "acceleration". Does this mean that an instantenous velocity and instantenous acceleration graph is no different than their respective "velocity" and "acceleration" graphs? Or is it that I'm not grasping the idea behind instanteous and instantenous velocity well enough?