Chapter 8.5, Problem 94E

a.

To determine

To evaluate: The velocity at 0, $v\left(0\right)$ and the limit of velocity $\underset{t\to \infty }{\lim }v\left(t\right)$ and intercepts these results.

b.

To determine

To sketch: The graph of the velocity function $v\left(t\right)=V_T\left(\frac{1-e^{\frac{-2gt}{V_T}}}{1+e^{\frac{-2gt}{V_T}}}\right)$.

c.

To determine

To verify: The position function.

d.

To determine

To sketch: The graph of the position function $s\left(t\right)=V_{T}t+\frac{V_T{}^2}{g}\ln \left(\frac{1+e^{\frac{-2gt}{V_T}}}{2}\right)$.