Chapter 2.3, Problem 16P

Program Plan Intro

Program Description: Purpose of the problem is to obtain downward position function $y\left(t\right)=y_0-\frac{1}{\rho }\ln \left|\frac{\cosh \left(C_2-t\sqrt{\rho g}\right)}{\cosh C_2}\right|$ from velocity function $v\left(t\right)=\sqrt{\frac{g}{\rho }}\tanh \left(C_2-t\sqrt{\rho g}\right)$ where $C_2={\tanh }^{-1}\left(v_0\sqrt{\frac{\rho }{g}}\right)$ and $y\left(0\right)=y_0$