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

question 149

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, $\lim _ { \mathrm { t } \rightarrow } \mathrm { v }$ , of a $420 \mathrm { lb }$ . skydiver ( $\mathrm { mg } = 420$ ) when $\mathrm { k } = 0.006$ .

• A) 264.58 ft/sec
• B) 0.01 ft/sec
• C) There is no limiting speed.
• D) 83.67 ft/sec

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Definitions:

Contingency Plan

A strategy or plan developed to address possible future events or circumstances that might adversely affect an organization.

Early Warning Signals

Indicators or signs that precede and predict upcoming problems or changes, allowing for preemptive action.

Shadow Plan

A backup plan or strategy that is developed to be used as an alternative in case the original plan fails or cannot be implemented.

Managerial Firefighting

The practice where managers spend a disproportionate amount of time addressing urgent problems rather than focusing on strategic planning and prevention.