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Suppose that a motorboat is moving at 44 ft/s when its motor suddenly quits, and that 12 s later the boat has slowed to 24 ft/s. Assume that the resistance it encounters while coasting is proportional to its velocity, so that dv/dt = - kv. How far will the boat coast in all? The boat will coast feet. (Round to the nearest whole number as needed.)

Suppose that a motorboat is moving at 44 ft/s when its motor suddenly quits, and that 12 s later the boat has slowed to 24 ft/s. Assume that the resistance it encounters while coasting is proportional to its velocity, so that dv/dt = - kv. How far will the boat coast in all? The boat will coast feet. (Round to the nearest whole number as needed.)

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Suppose that a motorboat is moving at 44 ft/s when its motor suddenly quits, and that 12 s later the boat has slowed to 24 ft/s. Assume that the resistance it encounters while coasting is proportional to its velocity, so that dv/dt = - kv. How far will the boat coast in all? The boat will coast feet. (Round to the nearest whole number as needed.)
Transcribed Image Text:Suppose that a motorboat is moving at 44 ft/s when its motor suddenly quits, and that 12 s later the boat has slowed to 24 ft/s. Assume that the resistance it encounters while coasting is proportional to its velocity, so that dv/dt = - kv. How far will the boat coast in all? The boat will coast feet. (Round to the nearest whole number as needed.)
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