The position of an object is described by its location on space. The velocity of an object, on the other hand, can be explained by the the change of position in space with respect of time while the acceleration can be explained as the change of velocity with respect of time. It was Issac Newton, who does not need an introduction, that found out that the position, velocity and acceleration of an object can be also represented mathematically , more exactly as the derivatives and integrals of each other. This means that if one were to derivate the position one would get the velocity, and if one derivates the position twice one would get the acceleration. Moreover, by integrating the acceleration once, one will compute the velocity, and if one integrates acceleration twice, one will get the position of the same object. [x’’[ t ] = a[ t ], x’[ t ] = v[ t ], x[ t ] = x[ t ] ]
In the following diagram the position, velocity and acceleration is represented as integral and derivatives of each other respectively.
You can input different acceleration ranging from -3m/s^2 to 3m/s^2 ! !