Provide an Appropriate Response $\frac { \mathrm { dv } } { \mathrm { dt } } = 0$

question 46

Multiple Choice

Provide an appropriate response.
-A catamaran is running along a course with the wind providing a constant force of 30 lb. The only other force acting on the boat is resistance as the boat moves through the water. The resisting force is numerically equal to Two times the boat's speed, and the initial velocity is 1 ft/sec. What is the maximum velocity in feet per second Of the boat under this wind?

• A) The maximum velocity occurs when \(\frac { \mathrm { dv } } { \mathrm { dt } } = 0\) or \(\mathrm { v } = 12 \mathrm { ft } / \mathrm { sec }\)
• B) The maximum velocity occurs when \(\frac { \mathrm { dv } } { \mathrm { dt } } = 0\) or \(\mathrm { v } = 15 \mathrm { ft } / \mathrm { sec }\)
• C) The maximum velocity occurs when \(\frac { \mathrm { dv } } { \mathrm { dt } } = 15\) or \(\mathrm { v } = 0 \mathrm { ft } / \mathrm { sec }\)
• D) The maximum velocity occurs when \(\frac { \mathrm { dv } } { \mathrm { dt } } = 12\) or \(\mathrm { v } = 0 \mathrm { ft } / \mathrm { sec }\)

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Definitions:

Providing Control

The act of offering or managing the ability to direct or influence others or the outcome of events.

Communication Purpose

The reason or intent behind conveying a message or information to someone else.

Providing Insight

Offering deeper understanding or analysis that sheds light on a subject.

Leadership Process

A series of actions or steps taken to guide and direct a group towards achieving a common goal.