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:

Flash Floods

Rapid flooding of geomorphologic low-lying areas - washes, rivers, dry lakes, and basins caused by intense rainfall events or sudden release of water.

Soil Erosion

The removal of topsoil by water, wind, or human activity, leading to loss of nutrients and soil fertility.

Alluvial Fans

Cone-shaped deposits of sediment crossed and built up by streams, typical at the base of mountain ranges in arid and semi-arid climates.

Hazardous Zone

An area that poses risks to human health, property, or the environment due to natural or human-made hazards.