# Chapter 16: Some Important Examples and a Formulation in Physics

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## Introduction

Newton's Laws state that the motion of an object with mass m and coordinate
x can be described by the equation **F** = m**a**, 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.

We also consider an important alternate formulation of **F** = m**a**.

## Topics

16.1 Constant Force

16.2 Linear Restoring Force

16.3 The Hamiltonian

16.4 What is Quantum Mechanics?