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:

Reasoning Skills

The capability to think logically and solve problems through systematic analysis and evaluation.

Intellectual Potential

An individual's capacity to think, understand, learn, and make judgments or have ideas.

Nature Vs. Nurture

A debate concerning the relative importance of an individual's innate qualities versus personal experiences in determining or causing individual differences in physical and behavioral traits.

Correlation

A measure of the relationship between two variables, indicating how one may predict or relate to the other.