Suppose a motorboat is moving at 40 ft/s when its motor suddenly quits, and that 10 seconds later the boat has slowed down 20 ft/s. Assuming that the resistance proportional to the square of the velocity such that dv/dt = - k ( v squared ). How far will the motorboat coast in the first minute after its motor quits?     420 ln 4 ft 440 ln 2 ft 380 ln 2 ft 400 ln 7 ft

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
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Suppose a motorboat is moving at 40 ft/s when its motor suddenly quits, and that 10 seconds later the boat has slowed down 20 ft/s. Assuming that the resistance proportional to the square of the velocity such that dv/dt = - k ( v squared ). How far will the motorboat coast in the first minute after its motor quits?
 
 
420 ln 4 ft
440 ln 2 ft
380 ln 2 ft
400 ln 7 ft
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