Solve the Problem $m$ Falling from Rest Under the Action of Gravity Is Given

question 13

Multiple Choice

Solve the problem.
-The velocity of a body of mass $m$ falling from rest under the action of gravity is given by the equation $\mathrm { v } = \sqrt { \frac { \mathrm { mg } } { \mathrm { k } } } \tanh \left( \sqrt { \frac { \mathrm { gk } } { \mathrm { m } } \mathrm { t } } \right)$ , where $\mathrm { k }$ is a constant that depends on the body's aerodynamic properties and the density of the air, $g$ is the gravitational constant, and $t$ is the number of seconds into the fall. Find the limiting velocity, $\lim _ { \mathrm { t } \rightarrow \infty }$ , of a 210 lb. skydiver $( \mathrm { mg } = 210 )$ when $\mathrm { k } = 0.006$ .

• A) 59.16 ft/sec
• B) 187.08 ft/sec
• C) There is no limiting speed.
• D) 0.01 ft/sec

---

Definitions:

Neglectful Parents

Parents who fail to meet their children's basic needs, including emotional nurturing, physical care, and protection, leading to various developmental issues.

Erikson

A psychologist known for his theory on the psychosocial development of human beings.

Mistrust

Lack of trust or confidence in someone or something, often stemming from experiences of betrayal or inconsistency.

Basic Emotions

Emotions that are universal in humans, appear early in life, and are thought to have a long evolutionary history; includes happiness, interest, surprise, fear, anger, sadness, and disgust.