Chapter 16.4, Problem 20E

(a)

To determine

To sketch: The schematic diagram showing the forces acting on the pearl as it sinks.

(b)

To determine

To write The differential equation modeling the velocity of the pearl as the falling body using the pearls velocity as a function of time.

(c)

To determine

To sketch: The phase line displaying the signs of $v^{\prime }\text{ and }{v}^{″}$.

(d)

To determine

To sketch: The typical solution curves of the differential equation $\frac{dv}{dt}=g\left(\frac{m-P}{m}\right)-v\left(\frac{k}{m}\right)$.

(e)

To determine

To evaluate: The terminal velocity of the pearl.