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Newton's Laws state that the motion of an object with mass
and coordinate
can be described by the equation
, where
, the acceleration of the object is the second derivative of its position
with respect to the variable time,
and
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.
We also consider an important alternate formulation of
.
16.1 Constant Force
16.3 The Hamiltonian