## Introduction (Simulation)

The physical basis of a dynamics simulation is Newton's second law:
$$F=m \cdot a$$
where F is the total force acting on a point object of mass m, and a is the resulting acceleration
The acceleration awhich is a function of time:
$$a=a(t)$$
The acceleration is also the time derivative of the velocity:
$$a=\frac{dv}{dt}$$
and the velocity is the time derivative of the position:
$$v=\frac{dx}{dt}$$