Suppose that a motorboat is moving at 49 ft/s when its motor suddenly quits, and that 9 s later the boat has slowed to 28 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.)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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Suppose that a motorboat is moving at 49 ft/s when its motor suddenly quits, and that 9 s later the boat has slowed to
28 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 49 ft/s when its motor suddenly quits, and that 9 s later the boat has slowed to 28 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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