Chapter 2.1, Problem 3E

Interpretation Introduction

Interpretation:

The acceleration $\ddot{\text{x}}$ of the flow $\dot{\text{x}}\text{=sinx}$ and the points $x$ at which the flow hasmaximum positive acceleration are to be determined.

Concept Introduction:

The acceleration of the flow of the form $\dot{\text{x}}\text{ = f(x)}$ can be obtained by taking its derivative with respect to t since $\dot{\text{x}}$ represents velocity of the flow.

The nonlinear systems can be analyzed easily by plotting them than using formulas.

The points at which the acceleration is maximum can be obtained by graphing the acceleration function $\ddot{\text{x}}$ vs x (position).