Newton's Laws state that the motion of an object with mass
m and coordinate x can be described by the equation F
= ma, where a, the acceleration of the object
is the second derivative of its position x with respect to
the variable time, t and F is the force experienced
by the object.
Single objects move in three dimensional space, in which
force, position and acceleration are vectors. There are some
simple essentially one dimensional examples that are so fundamental
as to be of general importance. We consider two of these.
16.1 Constant Force
16.3 The Hamiltonian