Suppose that a motorboat is moving at 39 ft/s when its motor suddenly quits, and that 8 s later the boat has slowed to 19 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 39 ft/s when its motor suddenly quits,
and that 8 s later the boat has slowed to 19 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 39 ft/s when its motor suddenly quits, and that 8 s later the boat has slowed to 19 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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